A pilot spots the airport at an angle of depression of 16°. The plane is flying at an altitude of 9,000 ft. What is the ground distance (distance along the ground) from the plane to the airport to the nearest foot

Answers

Answer 1

Answer:

[tex]31,387\:\text{ft}[/tex]

Step-by-step explanation:

We can form a right triangle using the plane, the airport, and ground and use basic trig for a right triangle to solve this problem.

In a right triangle, [tex]\tan\theta=\frac{\text{opp}}{\text{adj}}[/tex]. Therefore, we have the following equation, where [tex]x[/tex] is ground distance between the plane and the airport:

[tex]\tan 16^{\circ}=\frac{9,000}{x},\\x=\frac{9,000}{\tan 16^{\circ}},\\x\approx \boxed{31,387\:\text{ft}}[/tex].


Related Questions

I will award the right answer brainliest!

Answers

Odpowiedź w załączniku

Simplify the expression to standard form

-2.5(-3+ 4n+8)

Answers

Answer:

-12.5-10n

Step-by-step explanation:

jjjjjjjvuvubibuvuvuvibibivi

Answer:

distribute to get:

7.5 -10n -20

-10n - 12.5

Select the correct answer.
The length of a rectangle is units greater than twice its width. If its width is w, which expression gives the perimeter of the rectangle in terms of w?
A.
2(w) + w
B.
w + w
C.
3w +
D.
6w + 5

Answers

The expression which shows the perimeter in terms of w is option d which is 6w+5.

What is expression?

Expression is a combination of numbers, fraction, symbols, indeterminants, determinants,etc. It shows a relationship between two or more variables. It is mostly not found in equal to form.

How to find perimeter?

We have been given that width be w, so the length will be 2w+5/2.

We know that perimeter of rectangle is 2(l+b)

Perimeter=2(2w+5/2+w)

=2(3w+5/2)

=2(6w+5)/2

=6w+5

Hence the the expression which shows the perimeter of rectangle having width w and length is 5/2 units greater than double the width in terms of w is option d which is 6w+5.

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Question is incomplete as it should includes the length eing 5/2 units greater than double the width.

Find two integers whose sum is -20 and product is 99

Answers

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

-11+y=-20

y=-20=11=-9

when x=-9

-9+y=-20

y=-20+9=-11

so integers  are -11,-9

Find 2.64 / 0.6 step by step

Answers

Answer: 4.6

Step-by-step explanation:

Which one should I pick?

Answers

Answer:

x = 7, y = 16

Step-by-step explanation:

From the diagram shown;

2x+5 = x+12

collect the like terms

2x-x = 12 - 5

x = 7

Similarly, y - 4 = x+5

y-4 = 7+5

y - 4 = 12

y - 12+4

y = 16

hence x = 7, y = 16

factorise -21t²+12t+33​

Answers

Answer:

3(−7t+11)+(t+1)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Explanation:

~ Combine like terms

~ Like terms have the same variables

−21t^2 + 12t + 33

= 3(−7t + 11) + (t+1)

Which gives you your answer.

Your adding these/Polynomial

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Leme know if im wrong. Math isnt my forte.

GL.

An interior designer wants to place this bed in a home, and she is especially concerned about the headboard, which is 6 feet wide and 5 feet tall. She’ll place the headboard on a wall that is 7 feet wide and 9 feet tall. She needs to know the area of the space that will remain after she places the bed against the wall

Answers

Answer:

Step-by-step explanation:

Area of the Wall minus the Area of the headboard      

Area = length x width      in  this use tall as length and wide as width

Area Wall - Area Headboard  =  (Tall wall)(Wide wall)  -  (Tall head)(Wide head)

                 =  (9)(7) - (5)(6) feet

                 =    63 - 30  feet

                 =   ????                      I'll let you finish it

The area of the space that will remain after she places the bed against the wall is 30 feet².

What is Area?

Area is the entire amount of space occupied by a flat (2-D) surface or an object's shape. The area of a plane figure is the area that its perimeter encloses. The quantity of unit squares that cover a closed figure's surface is its area.

We have,

The headboard, which is 6 feet wide and 5 feet tall.

The headboard on a wall that is 7 feet wide and 9 feet tall.

So, Area of remaining space

= Area of the Wall - Area of the headboard      

= (9)(7) - (5)(6) feet

= 63 - 30  

= 30 feet²

               

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((will give brainliest)) What is the output of the function y = 12 + 3x if the input is 5.​

Answers

Answer:

y = 27

Step-by-step explanation:

The output is the value of y when x = 5

Substitute x = 5 into the function , that is

y = 12 + 3(5) = 12 + 15 = 27 ← output

output is 27

to solve you plug in the input into x and rewrite the equation as y=12+3(5) then you add 12+15 and get y=27

9 units 7 units What is the area of the rectangle above?

Answers

Answer: Area= length x width

63

The equation shown has an unknown number ⍰÷3/4=4/9

Answers

Answer:

9

Step-by-step explanation:

Which inequality had the graph shown below?

Answers

Answer:

y < 2x -3

Step-by-step explanation:

Please please please help *URGENT*

Answers

Answer:

1 = Communative property of addition

2 = distribution property

3 = Associative property of multiplacation

4 = Communative property of multiplacation

5 = Associative property of addition

Hope this helps! :) Please Ignore my bad spelling

Also, if you think this explanation is good, please mark it brainliest! It would help a lot! Thanks!

EXPLAIN YOUR WORK PLZ

AJ worked 48 hours last week. He earns $15.40 per hour plus overtime, at the usual rate, for hours exceeding 40 hours. What was his gross pay?
A $644.80
B$739.20
C$800.80
D$1,108.80

Answers

Answer:

D

Step-by-step explanation:

It will be $1,108.0 Because if you devide 40 by the hours, Plus the pay which is 15.40 You will get D

For problem 5, use the ordered pairs to answer the following question. SHOW YOUR WORK FOR FINDING SLOPE

Please can anyone give me the answer pleaseeeeeee

Answers

Answer:

what are the ordered pairs? then graph them and do the y axis number over the x axis number

Step-by-step explanation:

x/-3 = -7
What is x?
Please explain

Answers

Answer: x=21

Step-by-step explanation:

x/-3=-7

Take -3 and multiply it on each side to cancel it out from the left

x=21

Answer:

i think its 21

Step-by-step explanation:

-3x x/3 =-7 x -3 = 21

Please help
Find the area of a rhombus

Answers

Answer:30in^2

Step-by-step explanation:

Answer:

formila

Step-by-step explanation:

d2= lenght of diagonal 2, b= lenght of any side. h= height of rhombus.

Which of the following is used to inscribe a square in a circle?
A. Copy the chord that runs through the center of the circle.
B. Construct a perpendicular bisector of the diameter of the circle.
C. Use the radius length to find four vertices inscribed on the circle.
D. Construct a right angle using the radius of the circle and a tangent line.

Answers

Answer:

The option which is used to inscribe a square in a circle is option B

B. Construct a perpendicular bisector of the diameter of the circle

Step-by-step explanation:

The steps required to inscribe a square in a circle are;

1) Draw the circle using a compass

2) Draw the diameter of the circle, that passes through the center of the circle with a straight edge label the endpoint of the diameter X and Y

3) Construct the line perpendicular to the diameter of the circle and label the endpoints as A and B

The figure formed by joining the endpoints X, Y, A, and B is the inscribed square of the circle

Therefore, the correct option is to construct a perpendicular bisector of the diameter of the circle.

At the craft store, Amelia bought a bag of purple and yellow marbles. She received 75 marbles in all. 15 of the marbles were purple. What percentage of the marbles were purple?

Answers

Answer: 20%

Step-by-step explanation:

Given

Total marbles are 75

Out of this 15 are purple

Percentage of purple marbles is given by

[tex]\Rightarrow \dfrac{15}{75}\times 100=20\%[/tex]

So, purple marble constitutes of 20%

Sale
50% OFF!
What is the sale price of a gold necklace originally priced at $40?

Answers

Answer:

$20

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

40/2=20

A couple decides to keep having children until they have a girl, at which point they will stop having children. They also agree to having a maximum of three children. The table below shows the probability distribution of X=, equals the number of children such a couple would have.
X=# of children 1 2 3
P(X), .5 .25 .25
Given that \mu_X=1.75μ
X

=1.75mu, start subscript, X, end subscript, equals, 1, point, 75 children, find the standard deviation of the children such a couple would have.
Round your answer to two decimal places.
\sigma_X\approxσ
X

≈sigma, start subscript, X, end subscript, approximately equals
children

Answers

Answer:.83

Step-by-step explanation:

Khan academy

From the discrete distribution given, the standard deviation is of 0.83 children.

The distribution is:

[tex]P(X = 1) = 0.5[/tex]

[tex]P(X = 2) = 0.25[/tex]

[tex]P(X = 3) = 0.25[/tex]

The mean is 1.75.The standard deviation is the square root of the sum of the difference squared between each value and the mean, multiplied by it's respective probability.

Hence:

[tex]\sqrt{V(X)} = \sqrt{0.5(1 - 1.75)^2 + 0.25(2 - 1.75)^2 + 0.25(3 - 1.75)^2} = 0.83[/tex]

The standard deviation is of 0.83 children.

A similar problem is given at https://brainly.com/question/24188569

Can someone help me with math and thanks .!

Answers

Answer:

Step-by-step explanation:

1. A: 147 Degrees B: 33 Degrees

2. A: 121 Degrees B: 59 degrees

It would be the same as the other side.

3x + 1 = 2x + 5
help .....​

Answers

Answer:

x = 4

Step-by-step explanation:

Combine like terms.

3x- 2x = 1x

New Equation: 1x + 1 = 5

Subtract 1 from 5.

New Equation: 1x = 4

Divide 1 from both sides. 1x / 1 cancels out and 4 / 1 = 4.

Can someone help me with this??

Answers

Answer:

A

Step-by-step explanation:

When dilating an object, you multiply the x and y values by whatever scale you want to dilate the object by. It cannot be C because 2/5 is less than 1, which means that the object would shrink. So the answer must be A

I don't understand this, what's the answer? ​

Answers

Answer: y⁷
Steps: y¹¹ x y⁻⁴ = y¹¹⁺⁻⁴ = y⁷

The radius of a circle is 9 m. Find its circumference in terms of pi.

Answers

Answer:

56.52m

Step-by-step explanation:

This is because pie is commonly substitued as 3.14 and since the formula of a cicumference is piRx2 it would be 56.52

The circumference of the circle is 18π meters.

What is a circle?

A circle is a two-dimensional figure with a radius and circumference of 2πr.

The area of a circle is πr².

We have,

The circumference of a circle can be found using the formula:

C = 2πr

where r is the circle's radius and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting r = 9 m into the formula, we get:

C = 2π × 9

C = 18π m

Therefore,

The circumference of the circle is 18π meters.

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what is 1257÷45 I really need help​

Answers

Exact Form:

419/15

Decimal Form:

27.93...

Mixed Number Form:

27  14/15

Hope this helps(:

Amanda slept for 1/3 of the day. She played with her friends for 1/5 of the day. She spent the rest of the day working on a school project. What fraction of the day did she spend working on her project

Answers

Answer:

Amanda spent 7/15 of the day working on her project.

Step-by-step explanation:

1/3 x 5/5 = 5/15 1/5 x 3/3 = 3/15 5/15 + 3/15 = 8/15 15/15 - 8/15 = 7/15

Please help me with math!!!!!

Answers

Answer:

We need for inforamtion like what is the volume for both of the shapes

Step-by-step explanation:

give us the values and numbers to help you

I just need help with math :/

Answers

B. If the circle was shaded in 3 would be included

Answer:

Step-by-step explanation:

the answer is B

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