a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?

Answers

Answer 1

Step-by-step explanation:

tan3 = 200/x

x = 200/tan3

Answer 2

The question is incomplete. The right question is:

A ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°. To the nearest tenth of a foot, how far away is the fire from the base of the tower?

The distance between the fire and the base of the tower is 3816.2 feet.

What is the concept of height and distances?

Heights and Distances is a trigonometric application-based concept, where we try to form a right-angled triangle of the given conditions, take the angles of elevation and depression and try to find the unknowns.

How do we solve the given question?

We are given that a ranger spots a fire while on a 200-foot observation tower. The angle of depression from the tower to the fire is 3°.

We are asked to find the distance between the fire and the base of the tower.

We let the 200-foot observation tower be AB. Let the point of fire be C. Join BC and AC to complete the right-angled triangle ABC, with ∠B = 90°. The ranger from the top of the tower has a 3° angle of depression to the fire. We draw the horizontal line of sight AD. Now the angle of depression can be shown by the ∠DAC = 3°.

We let the distance between the fire and the foot of the tower be x foot.

∠BCA = ∠DAC = 3° (alternate angles).

Also, ∠BAC = 180° - 90° - 3° = 87° (using angle sum property of triangles)

In ΔABC,

tan ∠BAC = BC/AB (tan θ = perpendicular/base)

or, tan 87° = x/200

or, x = 200*tan87° = 200*19.0811 = 3816.22 = 3816.2 (rounding to nearest tenth).

∴ The distance between the fire and the base of the tower is 3816.2 feet.

Learn more about Heights and Distances at

https://brainly.com/question/14361606

#SPJ2

A Ranger Is At The Top Of A 200 Foot Tall Lookout Tower. She Spots A Fire At An Angle Of Depression Of

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plz help with everything in the pic

Answers

HERE I TOOK PICTURES

i only understand number 11

A butcher shop is selling steaks 2 for $7.00. The butcher sells 29 steaks today. How much money did the butcher make selling steaks today?

Answers

Answer:

The butcher made $101.50

Step-by-step explanation:

2 for 7.00

1 steak would be 7.00 divided by 2

7 divided by 2 is 3.5

1 steak is 3.50 dollars

29 steaks in total

29 multiplied by 3.50 is 101.5

Write an equation of the line that passes through the given point P and has the given slope m.
P(9,4)
m = -1/3

Answers

9514 1404 393

Answer:

y -4 = -1/3(x -9)

Step-by-step explanation:

The point-slope form of the equation for a line is useful for this.

y -k = m(x -h) . . . . . . . line through point (h, k) with slope m

You are given (h, k) = (9, 4) and m = -1/3. Putting these values into the form gives the equation ...

y -4 = -1/3(x -9)

FIND THE AREA OF THE SHADED SECTION IN THE CIRCLE THE SHADED SECTION IS 35 DEGRESS AND THE RADIUS IS 5 INCHES. USE THE FORMULA: M/360 TIMES PIE R SQUARED

Answers

Answer:

Area of sector of circle = 7.6302 inches (Approx.)

Step-by-step explanation:

Given:

Angle of section = 35°

Radius of circle = 5 inch

Find:

Area of shaded section

Computation:

Area of shaded section = Area of sector of circle

Area of sector of circle = [θ/360][πr²]

Area of sector of circle = [35/360][(22/7)(5)²]

Area of sector of circle = [0.0972][(3.14)(25)]

Area of sector of circle = [0.0972][78.5]

Area of sector of circle = 7.6302 inches (Approx.)

2 students want pancakes and 9 students want waffles. What is the ratio of the number of
students who want pancakes to the number of students who want waffles?

Answers

Answer:

2:9

Step-by-step explanation:

To create the ratio, put the number of students that want pancakes to the number that wants waffles.

Since 2 want pancakes and 9 want waffles, the ratio will be 2:9

So, the answer is 2:9

Answer:

2:9

Step-by-step explanation:

beacause if every 2 students want pancakes and 9 want waffles

Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.

Answers

$1.72. Mark as brainliest?

Answer:

1.72

Step-by-step explanation:

8.60= 5 Pounds

So you divide by 5

8.60/5

1.75

can someone pls help me with this question

Answers

Answer:

Step-by-step explanation:

The x intercept is the value of x when y equals zero. The table tells us that when x goes up by one, y goes down by two.

Knowing this, all we have to do is increase x by 1 and decrease y by two until y is zero, and we can look and see what x is.

I also made a visual in the file below if this is confusing

Why is it not possible to make a right triangle using lengths of 4 feet, 8 feet, and 10 feet?

Answers

Answer:

because it does not follow the rule... you should be able to and any to side lengths and get an answer greater than the third side.

what is the mean price of $29 $58 $15 $129 $75 $22

Answers

55 is your answer
each number added together sums up to $330
there are 6 numbers
if you divide 330 by 6 you will get 55

0.8 k - 20 = -60

what does ‘k’ equal?

Answers

Answer:

K = -50

Step-by-step explanation:

0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.

Answer:

k equals -50

Step-by-step explanation:

0.8 k - 20 = -60

0.8k = -60 + 20

0.8k = -0

k = [tex]\frac{-40}{0.8}[/tex]

k = -50

What is the value of x?
A. 25°
B. 50°
C. 55°
D. 75°
E. 80°

Answers

Answer:

Option Bx = 50°

Step-by-step explanation:

By the condition,

25° + 105° + x = 180° [Angle sum property of triangle]

=> 130 + x = 180

=> x = 180 - 130

=> x = 50° (Ans)

I am not 100% but I guess it’s B

If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?

Answers

Answer:

Step-by-step explanation:

the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail

It cannot be none

Therefore...Probability is 0 of getting 0 heads

plz mark as brainliest

thanks

please help

dgfhkcgfkgnglhgdh

Answers

A. There are 14 hard candies in total and 45 foods all together therefore the answer is 14/45

If y varies directly as z and inversely as x and y = –18 and z = 3 when x = 6, find y when x = 5 and z = –5.
36

18

9

64

Answers

Answer:

y = 36

Step-by-step explanation:

Given y varies directly as z and inversely as x then the equation relating them is

y = [tex]\frac{kz}{x}[/tex] ← k is the constant of variation

To find k use the condition y = - 18, z = 3 when x = 6 , then

- 18 = [tex]\frac{3k}{6}[/tex] ( multiply both sides by 6 )

- 108 = 3k ( divide both sides by 3 )

- 36 = k

y = [tex]\frac{-36z}{x}[/tex] ← equation of variation

When x = 5 and z = - 5, then

y = [tex]\frac{-36(-5)}{5}[/tex] = [tex]\frac{180}{5}[/tex] = 36

HELPP! E(f + g) =

Help

Answers

What! You need more information if you want people to help you.

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid

Answers

Complete question :

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000

Answer:

49.85%

Step-by-step explanation:

Mean = 17000

Standard deviation = 500

Obtain the Z score, which is the number of standard deviations from the mean :

((17000 - 17000) / 500) = 0

((15500 - 17000) / 500) = - 3

-3 to 3 = (3 standard deviations)

However,

The value here is (-3 to 0) ; which is only 3 standard deviations to the left.

3 standard deviation = 99.7% (empirical rule)

Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved

99.7% / 2 = 49.85%

Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%

Please help I have been stuck for a while now

Answers

Answer:

B. Between x 2 and x 3

Step-by-step explanation:

pls help ! tysm!!!!!!!!!!

Answers

Answer:

332

Step-by-step explanation:

332

Answer is 332 hope this helps you have a great day

Duran is making party favors by placing a circular disk in the bottom of a plastic bag. Each disk has diameter of 6 centimeters. What is the area of the disk to nearest hundredth. ** Use 3.14

A. 18.84

B. 28.26

C. 91.06

D. 113.04

Answers

Answer:

B. 28.26

Step-by-step explanation:

2 / 7 - x = 5/4 what is the value of 'x'

Answers

Answer:

27/28

Step-by-step explanation:

2/7 - x =5/4

-2/7 -2/7

x=27/28

Carlos cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?

Answers

Answer:

Each piece of cloth is (1/12) of a yard long.

Step-by-step explanation:

Carlus cut 5/12 of a yard of cloth into 5 pieces of equal length.

To find the length of each piece of cloth, we need to find the quotient between the length of the piece of cloth, and the number of pieces in which we divide it.

This is:

length = [tex]\frac{(5/12)yd}{5} = \frac{5yd}{12*5} = \frac{1yd}{12} \frac{5}{5} = \frac{1 }{12} yd[/tex]

This means that the length of each piece of cloth is (1/12) of a yard long.

Answer:

1/12 trust,

because yes. >3

2022 / 2023

A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "5 of diamonds".
Give your answer

Answers

Answer:

1/52

Explanation:

Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching television each week. the results are shown in the dot plots below

Answers

Answer:

18 > 14, true

12 - 16 = -4, true

Mean:

Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8

The difference:

14.8 - 11.73 > 1, NOT true

True

A sequence defined by the rule f(n)=4f(n-1)+2.if f(1)=3 then find f(4)=?

Answers

Answer:

f(4) = 6

Step-by-step explanation:

Given the rule f(n) = 4f (n - 1) + 2 where f(1) = 3, f(n) is just a fancy way to name the variable y. As you've seen before, there are equations that are usually y equals x and something. For example:

y = mx + b

is the same thing as

f(n) = y = mn + b.

It might be that you have multiple of the same equation where f(n) and f(x) have two different outcomes.

The f(n) part (bolded) is the "x variable" in this equation. So in f(1), n = 1.

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(1) = 1 +2

3 = 3

Now do the same thing for f(4):

f(n) = 4f (n - 1) + 2

f(n) = (4fn - 4f) + 2

f(n) = (n) + 2

f(4) = 4 + 2

f(4) = 6

Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?

Answers

9 different ways. Because there are three people and they can arrange themselves three ways three times three is nine.

Sense there is 3 students they can line up in 6 different orders

A rectangular piece of fabric was used to make a banner. It measured 12 feet long and had an area of 24 square feet. What is its perimeter?

Answers

Answer:

the perimeter is 28

Step-by-step explanation:

2+2=4

12+12=24

24+4=28

Answer:

Perimeter = 28 feet

Step-by-step explanation:

The formula to find the area of a rectangle is Length * width and we already have one dimension here, so we simply plug it in and make an equation to the find the unknown measurement

12 * d = 24

d = 24/12

d = 2

So the missing dimension is 2 feet

Now we simply find the perimeter of the rectangle using the formula

2 ( length + width)

= 2 (12 + 2 )

= 2 ( 14 )

= 28 feet

PLEASE HELP I don't understand this stuff yet. Brainliest give away!

Answers

Answer: I think the answer is B

Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.

Answer:

c bc he should use the median cause it is in the affect the mean

Step-by-step explanation:

Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?

Answers

Answer:

$262.5

Step-by-step explanation:

Given data

Commission earned= 7.5%

Sales for last week= $3,500

Let us find the amount of the commission

=7.5/100* 3500

=0.075*3500

=$262.5

Hence the commission earned last week is

$262.5

pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)

Answers

Answer:

The answer is Nonlinear Association

Hi There Answer Nonlinear Association

Step-by-step explanation:

Guided Practice

Write an equation of the direct variation that includes the point (–8, 10).

A.
y= −4/5x

B.
y= 5/4x

C.
y= −5/4x

Answers

Answer:

y= −5/4x

Step-by-step explanation:

Write an equation of the direct variation that includes the given point. (-8, 10)

first divide y by x to find the constant

Then write the equation using that constant. The constant can be written as a fraction or a decimal.

RESULT

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a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?​

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a ranger is at the top of a 200 foot tall lookout tower. she spots a fire at an angle of depression of 3° from the top of her tower. To the nearest tenth of a foot, how far away is the fire?