A boat heading out to sea starts out at Point A, at a horizontal distance of 1465 feet
from a lighthouse/the shore. From that point, the boat's crew measures the angle of
elevation to the lighthouse's beacon-light from that point to be 13º. At some later
time, the crew measures the angle of elevation from point B to be 8°. Find the
distance from point A to point B. Round your answer to the nearest foot if
necessary.

Answers

Answer 1

By using what we know about right triangles, we will see that the distance is 1479.4 ft

How to find the distance between point A and point B?

We assume that the distance between the points is a hypotenuse of a right triangle whit one of the angles measuring 8°, and the adjacent cathetus measuring 1465 ft.

Then we use the relation:

Cos(a) = (adjacent cath)/(hypotenuse)

cos(8°) = (1465 ft)/(distance)

distance = (1465ft)/cos(8°) = 1479.4 ft

If you want to learn more about right triangles, you can read:

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Related Questions

How did Mandela get the name “Nelson?”

Answers

Answer:

On the first day of school his teacher, Miss Mdingane, gave each of the students an English name. This was the custom among Africans in those days and was undoubtedly due to the British bias of education. That day, Miss Mdingane told him that his new name was Nelson.

Do number 1 pleaseeee

Answers

Answer:Let's start b writing down coordinates of all points:A(0,0,0)B(0,5,0)C(3,5,0)D(3,0,0)E(3,0,4)F(0,0,4)G(0,5,4)H(3,5,4)a.) When we reflect over xz plane x and z coordinates stay same, y coordinate  changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.A(0,0,0)ReflectingA(0,0,0)B(0,5,0)ReflectingB(0,-5,0)C(3,5,0)ReflectingC(3,-5,0)D(3,0,0)ReflectingD(3,0,0)b.)A(0,0,0)MovingA(-2,-3,1)B(0,-5,0)MovingB(-2,-8,1)C(3,-5,0)MovingC(1,-8,1)D(3,0,0)MovingD(1,-3,1)

Step-by-step explanation:

Find the slope of the line that is parallel and perpendicular to the following equation.
-5x - y = 1

Answers

Answer:

slope of perpendicular: [tex]\sf \bold{\frac{1}{5} }}[/tex]

slope of parallel: -5

rewrite in slope intercept form:                           [ y = mx + b ]

-5x - y = 1-y = 1 + 5xy = -5x - 1

comparing with y = mx + b       [ where m is slope, b is y-intercept ]

Parallel slope is same

formula: m₁ = m₂

m = -5

slope of parallel: -5

Perpendicular slope is negatively reciprocal

formula: m₁ = -(m₂)⁻¹

m₁ = -(-5)⁻¹m₁ = -(-1/5)m₁  = 1/5

slope of perpendicular: 1/5

Answer:

Slope of the line that is parallel: -5

Slope of the line that is perpendicular: [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

-5x - y = 1 <== add 5x to both sides

+5x      +5x

-y = 5x + 1 <== divide both sides by -1

/-1      /-1

y = -5x - 1

The slope of the line that is parallel to this line is -5.

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-5)

2. Flip it (-1/5)

3. Change the sign (1/5)

For a slope of -5, the reciprocal would be: [tex]\frac{1}{5}[/tex]

Hope this helps!

I need help on this question

Answers

Answer:

Step-by-step explanation:

The question is what is the range of the function shown on the graph above?

Answers

Answer:

0 ≤ y ≤ 7

Step-by-step explanation:

Hey there! :)

Please see an explanation for better understanding, and let me know if you have any questions!

What is Range?

Range in Function means set of all y-values. We know by the graph that y-value is a vertical value while x-value is horizontal value. From the graph, we have y-axis which is vertical line and x-axis which is horizontal line.

For this question, I would like you to focus on y-value instead, at best, only. That is because we are finding the range, as said above that range is the set of all y-values.

Steps

To find the range in graph, first, you must understand that range starts from minimum point/value to maximum point/value. Therefore, we will have to find y-values for both points and combine the interval.

From the graph, we see that there are two points given which are (-6,0) and (9,7). Since (-6,0) is the minimum point because below y = 0, there exists no values. On the other hand, (9,7) is our maximum point because above y = 7, there exists no values.

Focus only y-values, for both points, we have y = 0 and y = 7. Since range is minimum < y < maximum - for opened dots of both points or minimum ≤ y ≤ maximum - for closed dots for both points.

In case if you don’t know what opened dots and closed dots are. Opened dots are white dots while closed dots are colored dots, usually dark ones.

Thus, from the y-values of both point, our range is 0 ≤ y ≤ 7

-10 - | 5 -12 | + 3 + | 5 + 12 | =

Answers

Answer:

3

Step-by-step explanation:

the absolute value function always returns a positive value , that is

| - a | = | a | = a

given

- 10 - | 5 - 12 | + 3 + | 5 + 12 |

= - 10 - | - 7 | + 3 + | 17 |

= - 10 - 7 + 3 + 17

= 3

A dress shop has a markup rate of 200%. find the selling price of a dress that cost the store owner $80.

pls help

Answers

Answer:

$240

Step-by-step explanation:

200% x 80 = 160

80 + 160 = $240

Express each of the following rational numbers in power notation
(i) -1/125

Answers

Answer:

[tex]\displaystyle \large{-5^{-3}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{-\dfrac{1}{125}}[/tex]

Convert to exponent using the laws of exponent:

[tex]\displaystyle \large{\dfrac{1}{a^n} = a^{-n}}[/tex]

That means we must find the base and exponent for 125, which is [tex]\displaystyle \large{5^3}[/tex]:

[tex]\displaystyle \large{-\dfrac{1}{125} = -\dfrac{1}{5^3}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{-\dfrac{1}{5^3} = -5^{-3}}[/tex]

Therefore, the solution is [tex]\displaystyle \large{-5^{-3}}[/tex]

A car with a mass of 1,500 kg broke down on the side of the road. How much force will be required
for a tow truck to accelerate the car at a rate of 3 m/sec^2

Answers

Answer:

the answer is 4,500kgm/s2

Step-by-step explanation:

force= mass × acceleration

[tex]f = 1500 \times 3 \\ = 4500kgm {s}^{ - 2} [/tex]

pls help with number 27 to find the area 20 points for awnser and thank you brainly people for helping me so much!

Answers

Answer:

27 cm²

Step-by-step explanation:

Refer to the attachment for visual reference.

First, divide into each rectangles or squares.

Then find the areas individually.

After that, combine all areas and that is the area of figure.

Area of Rectangle

A = width * length (Keep in mind that width is always less than length.)

Area of Square

A = side * side

Unit for area is cm² because we are finding area which is two dimensional.

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

The degree of the polynomial is
options 2,3,5,6

The leading coefficient of the polynomial is
options 2,3,5,6

Is there a constant term in the polynomial?
options: yes, no.

This expression can be called a blank
expression.
options: monomial, binomial, trinomial

Answers

Answer:

2

5

YES

trinomial

Step-by-step explanation:

Given expression:  [tex]5x^2+3x+6[/tex]

The degree of the polynomial is the highest exponent = 2

The leading coefficient, is the coefficient (value) before the [tex]x^2[/tex] = 5

The constant in the polynomial is the value without a variable, i.e. 6 = YES

This expression can be called a trinomial expression since it is a polynomial with exactly three terms.

Expression given:-

5x^2+3x+6

So

Degree=2Leading coefficient=5Constant yes(6)Three variables a,b,c hence trinomial

When the 18 French class students randomly line up for a fire drill, what is the probability that Amy is first
and Zach is last in line?

Answers

The probability of Amy and Zach to line up at the frond and last in the line will be 11.11%

What is probability?

The chances of happening of any random event is called as the probability. Here in the question there are 18 class students we need find that the first and the last position should be occupied by Amy  and jach.

Total outcomes =18

favourable outcome=2

So the probability of the Amy and Zach to stand in the front and the last in the line will be

[tex]P=\dfrac{2}{18}=0.11=11\%[/tex]

Hence the  probability of Amy and Zach to line up at the frond and last in the line will be 11.11%

To know more about probability follow

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The windows on the top row of a building are similar to the windows on the bottom row. Rectangle ABCD is similar to rectangle JKML.

If AB = 40 in., what is JK?

A- 40 in.
B- 30 in.
C- 20 in.
D- 10 in.

Answers

It would be 40 cause if AB are similar then JK should be the same as AB

Answer:

20 in.

Step-by-step explanation:

i just got it right on edge

Find the indicated arc and angle measures:
с
D
F
DO
B
70960
E
A
arc AB Degree:
arc BC Degrees:
arc ABC Degrees:
arc CDB Degrees:

Answers

Answer:

arc AB = 70°

arc BC = 110°

arc ABC = 180°

arc CDB = 250°

Step-by-step explanation:

Since these angles are not inscribed, but are at the center point of the circle, the angles and arcs will be the same measure.

Solve for arc AB:

Angle AFB = 70°, so arc AB = 70°

Solve for arc BC:

Angle AFC is a straight angle so it is 180°. To find angle BFC, subtract angle AFB from 180°.

180 - 70 = 110°

Since angle BFC = 110°, arc BC = 110°

Solve for arc ABC:

Add arc AB and arc BC together.

70° + 110° = 180°

arc ABC = 180°

Solve for arc CDB:

There are 360° in a cirlce. To find arc CDB, subtract arc BC from 360°.

360° - 110° = 250°

arc CDB = 250°

I need help on nine and 10 instructions say to solve these equations by cross multiplying

Answers

Answer:

  9.  a = -1

  10.  b = 20

Step-by-step explanation:

The term "cross multiplying" is used to describe the appearance of the result of multiplying both sides of the equation by the product of the denominators. The result is the left numerator is multiplied by the right denominator, and the right numerator is multiplied by the left denominator. The property of equality that supports this is the multiplication property of equality, which tells you the values of the variables are unchanged if you multiply both sides by the same thing. That multiplier is chosen so that it cancels the denominators.

__

9.

  [tex]\dfrac{2a-5}{3a-4}=\dfrac{2a-3}{3a-2}\\\\(3a-2)(2a-5)=(3a-4)(2a-3)\qquad\text{"cross multiply"}\\\\6a^2 -19a +10=6a^2-17a+12\qquad\text{expand}\\\\-2=2a\qquad\text{add $19a-6a^2-12$}\\\\\boxed{a=-1}\qquad\text{divide by 2}[/tex]

__

10.

  [tex]\dfrac{b-2}{b-6}=\dfrac{b+2}{b-4}\\\\(b-4)(b-2)=(b-6)(b+2)\qquad\text{"cross multiply"}\\\\b^2-6b+8=b^2-4b-12\qquad\text{expand}\\\\20=2b\qquad\text{add $6b+12-b^2$}\\\\\boxed{b=20}\qquad\text{divide by 2}[/tex]

_____

Additional comments

Here are the answer checks:

  9. (2(-1) -5)/(3(-1)-4) = (2(-1)-3)/(3(-1)-2) ⇒ -7/-7 = -5/-5 . . . yes

  10. (10 -2)/(10 -6) = (10 +2)/(10 -4) ⇒ 8/4 = 12/6 . . . yes

__

Sometimes this method of solving the problem will result in extraneous solutions. Those will generally be values of the variable that make one or more of the denominators be zero. You must be careful to exclude those values from any possible solution set.


The table shows differences in political ideology, by education, for a random sample of voters. Use the data to solve the problem.

Find the probability that a randomly selected person from this group is conservative, given they have attended college
P(conservative attended college) = (Type an integer or a simplified fraction)

Answers

Answer:

9/33

Step-by-step explanation:

find the total of people that have attended college (9+12+12 =33)

now go to the number of people that are both college and conservative (9)

The probability that a randomly selected person from this group is conservative, given they have attended college; 9/33

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

Given that table shows differences in political ideology, by education, for a random sample of voters.

To find the total of people that have attended college (9+12+12 =33)

P(conservative attended college) = (Type an integer or a simplified fraction)

To the number of people that are both college and conservative (9)

P(conservative attended college) = 9/33

Learn more about probability here;

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In a school of 450 students, 110 of them are in the choir, 240 of them are in the band and 60 students are in the choir and the band

Answers

Answer:

whats rhe question itdoesntsay

Un obrero tiene una escalera de 12 metros. ¿Que ángulo debe formar con el suelo para alcanzar una altura de 8 metros?

Answers

Usando el concepto de seno, hay que la escalera debe formar un angulo de 41.8º con el suelo.

¿Qué es el seno de un angulo?

El seno de un angulo viene dada por el cambio vertical dividido por el cambio diagonal.

En este problema:

El cambio diagonal es de 12 metros.El cambio vertical es de 8 metros.

Por eso:

[tex]\sin{\alpha} = \frac{8}{12}[/tex]

[tex]\alpha = \sin^{-1}{\left(\frac{8}{12}\right)}[/tex]

[tex]\alpha = 41.8^\circ[/tex]

La escalera debe formar un angulo de 41.8º con el suelo.

Puede-se aprender más a cerca de el concepto de seno en https://brainly.com/question/24766917

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How are area and volume similar? (will give brainliest for the right answer)

A both take up an amount of space

B both are 2-dimensional

C both have length, width, and height

D both are 3-dimensional

Answers

Answer:

the one where it say it takes height

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got 100%

find the 24th term of the arithmetic sequence whose common difference is d=5 and whose first term is a1=2

Answers

Answer:

94

Step-by-step explanation:

a1+ 23d =2+23*4= 94

94 is the 24 th term

(show ur work) You spend $40 on 5 pounds of concrete. What is the unit rate in dollars per pound?

answer choices

$8 per pound
$35 per pound
$5 per pound
$0.125 per pound

Answers

Answer:

8 dollars per pound

Step-by-step explanation:

40 divided by 5 will give you the $/lb

40/5=8 so its $8/lb

since there’s 40 dollars total, divide it by 5.
40/5 = 5

$5 per pound

Work out the gradient of the straight line through (-2, 1) and (1, 10)

Answers

The answer to your question is:
3

Steps:

Answer:

3

Step-by-step explanation:

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon.

Answers

The radius of the balloon given the information in the question is 8.98cm.

What is the radius of the balloon?

The first step is to determine the volum of the balloon.

Volume = 81π cm^3 x 12 = 972π cm^3

Now, determine the radius using this formula:

∛[Volume / (4/3π )]

∛[972π cm^3/ (4/3π )] = 8.98cm

Here is the complete question:

Andy is blowing up a spherically shaped balloon. If he is able to blow 81π cm^3 of air with every breath, it takes him 12 breaths to fully inflate the balloon. What is the radius of the balloon?

To learn more about the volume of a sphere, please check: https://brainly.com/question/13705125

Bob shoots off a small rocket from the balcony of his apartment. The balcony is 30 ft above the ground and the rocket travels at 40 ft/second. When does it reach the highest point? What is the highest point? When does it hit the ground (seconds)?

Answers

From the calculations;

The highest point above the ground is 112 feetThe time taken to reach this height is 8 seconds

Equations of motion

The equations of motion are used in kinematics to obtain the various variables that has to do with motion.

In this case;

distance covered = 30 ft

initial velocity = 40 ft/second

Final velocity = 0 m/s at the maximum height

Hence;

v^2 = u^2 - 2gh

since v = 0

u^2 = 2gh

h = u^2/2g

h = (40)^2/2(9.8)

h = 82 feet

highest point above the ground = 82 feet + 30 feet = 112 feet

Now;

v = u - gt

since v = 0

u = gt

t = u/g

t = 40/9.8

t = 4 seconds

Time taken to hit the ground = 2(4 seconds) = 8 seconds

Learn more about kinematics:https://brainly.com/question/27126557

Find the measure of the missing angle in this right triangle.

Answers

Answer:

Missing angle is 55°

Step-by-step explanation:

Given :-

One angle is 35° and one is 90°

To find:-

Measurement of other angle

Solution:-

We know that the sum of all angles in a triangle is 180°

and let the unknown angle be x

So ,

90°+35°+x = 180°

x = 180° - 125°

x = 55°

Which of the objects below best holds 1 quart? A. gas tank pitcher C. coffee mug D. pool​

Answers

The pool and gas can are to big and a coffee mug is to small so it would be B. pitcher

Please help me with this question

Answers

Step-by-step explanation:

Insribed angle is half the measure of intercepted arc.

m∠CAB = 1/2mCDB

Since O is the center COB is the diameter of this circle.

The diameter splits the circle into two equal arcs. As the full circle is 360°,  each semicircle is 180°.

So

1/2mCDB = 1/2(180°) = 90°

And the angle measure is

m∠CAB = 90

Proved

Answer:

[tex]\overline{\sf COB}[/tex] is the diameter of circle O.

The angle on a straight line is 180°  ⇒  ∠COB = 180°

The angle at the center of a circle is twice the angle at the circumference:

⇒ ∠CAB = 1/2 of ∠COB = 1/2 x 180°

⇒ ∠CAB = 90°

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

16

Step-by-step explanation:

no image, but 6 + 2 + 2 + 6 = 16

A student clamied that the number -4 is not rational because it is not a ratio of two integers. Do you agree or disagree?​

Answers

Answer:

I disagree.

Step-by-step explanation:

An integer is a whole number ranging from -2,147,483,648 to 2,147,483,647.

A ratio of two integers with -4 could be -4/1, so -4 is a rational number.

Answer:

I agree.

Solution:Every single integer can be written as a fraction.Please remember that the set of integers includes negative numbers, zero, and positive numbers.In this case, we have a negative number (the minus sign in front of the number tells us it is negative).So, how can we write an integer as a fraction?Every integer can be written as a fraction with a denominator of 1.Therefore, the answer is:-4/1So, is 4 rational? Yes, because it can be written as a fraction.

Hope it helps.

Do comment if you have any query.

can someone help me with this?

Answers

Answer:

66°

Step-by-step explanation:

mJK = ( 6x - 45 )°

mJH = ( x + 20 )°

mJK = mJH

6x - 45 = x + 20

5x = 65

x = 13

mHK = ( x + 20 )° + ( 6x - 45 )°

mHK = 2 × 33° = 66 °

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