The angle of elevation from a point on the ground to the top of a tower is 36° 30'. The angle of elevation from a point 140 feet farther back from the tower is 25° 51'. Find the height of the tower. Round your answer to the hundredths place.

Answers

Answer 1

Answer:

67.83 feet

Step-by-step explanation:

Let h be the height of the tower and d be the distance from the point on the ground to the tower at an angle of elevation of 25° 51' from the tower. The line of sight of this point from the top of the tower, h and d form a right-angled triangle with the line of sight at an angle of elevation of 25° 51' being the hypotenuse side.

Using trigonometric ratios,

tan25° 51' = h/d

h = dtan25° 51'

We convert to degrees 25° 51'

25° 51' = 25° + 51' × 1°/60' = 25° + 0.85° = 25.85°

So, h = dtan25.85°

d = 140 feet

h = 140tan25.85°

h = 140 × 0.4845

h = 67.83 feet


Related Questions

What is the value of cosine theta in the diagram below?

A unit circle is shown. A radius with length of 1 forms angle theta in the first quadrant. The radius goes to point (0.6, 0.8) on the unit circle.
Three-fifths
Three-fourths
Four-fifths
Four-thirds

Answers

Answer:

A: Three-fifths

Step-by-step explanation:

I have attached an image to depict this question.

We can see that the point at which the radius goes on the unit circle is a coordinate (x, y)

We are told this coordinate is (0.6, 0.8)

Now, in these type of unit circle diagrams;

x = cos θ and y = sin θ.

Thus;

cos θ = 0.6

cos θ = 6/10

Simplifying gives;

cos θ = 3/5

Answer:

A. 3/5

Step-by-step explanation:

cause i know

an intercepted arc is the arc that lies between the ___ of an inscribed angle

Answers

an intercepted arc is the arc that lies between the _two lines__ of an inscribed angle

a line crosses through (-6,-2)and (2,10) determine the slope and y intercept for this linear relationship​

Answers

Answer:

3/2

Step-by-step explanation:

The formula to find slope is y - y all over x - x or (y-y)/(x-x)

Let's start with the y's: 10 - (-2) = 12

Now the x's: 2 - (-6) = 8

12/8 or 3/2 is the slope

The number of hours you study for an exam impacts your grade. What is a reasonable value of the range
a.2.16
b.2/3
c.-15
d.80

Answers

Answer: 80

Step-by-step explanation:

Answer:

b.2/3

Step-by-step explanation:

I think this would be the most reasonable.

What is the approximate volume of the cylinder? Use 3.14 for

Answers

Step-by-step explanation:

it's 452.16 because it's the closest estimate

On average, Shawnte drinks
of the 6- ounce glass
2
of water in
12 / 2
hours. How much water does she drink in
an hour?
Please help don’t send a link

Answers

Answer A 0.75 ounces

Step-by-step explanation:

shawnte drinks 4.5 ounces in an hour so, the correct answer is a

Find x/5 = 30.4
What is x?​

Answers

Answer:

x = 150

Step-by-step explanation:

Answer:

x=152

Step-by-step explanation:

x/5=30.4

x=30.4 x 5

x=152

If this helps please mark as brainliest

brainliest gets 25 points
This chart represents different workplaces. Circles A, B, and C are particular to certain career pathways and D represents a typical workplace for all three pathways.

Which best completes Circles A, B, C, and D?

Logistics and Distribution is the career of Circle A, M arketing Information Management is the career of Circle B, Marketing Communications is the career of Circle C, and Circle D is "an office".
Logistics and Distribution is the career of Circle A, Buying and Merchandising is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "an office."
Buying and Merchandising is the career of Circle A, Marketing Communications is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "work in a restaurant."
Buying and Merchandising is the career of Circle A, Entrepreneurship is the career of Circle B, Logistics and Distribution is the career of Circle C, and Circle D is "work in a restaurant".

Answers

Answer:

A, Marketing Communications is the career of Circle B, Professional Sales is the career of Circle C, and Circle D is "work in a restaurant."

I don’t quite get this question

Find the mean, median, and mode of 12, 9, 17, 15, 10

Answers

Answer:

Mean: 12.6

Median: 12

Mode: 9, 10, 12, 15, 17

Step-by-step explanation:

Mean: To find the mean you have to add up all your terms and divide your result by the number of terms you have. ((12+9+17+15+10) / 5)

Median: To find the median you have to organize your terms from least to greatest and then find your center term. (12)

Mode: Normally to find your mode would be to organize your terms from least to greatest and see which of your terms occurs the most. In this case all terms occur only once, making all your terms the mode.

(6.3x10^0)-(5x10^-2)

and also

(7x10^-3)+(8x10^-1)

Answers

1. 6.25 x 10^0
2. 8.07 x 10^-1

help get brainliest asap

Answers

Answer: x =67

Step-by-step explanation:

The equation to solve this is (x - 22) + 135 = 180

1) To solve for x, you must remove the parenthesis

x - 22 + 135 = 180

2) Simplify the equation...

x - 113 = 180

3) Simplify the equation

180-113 = x

3) Subtract to solve

180 - 113 = x

x = 67

Answer :

As shown in the figure the angles x - 22 and 135 lie on a straight line . So we may solve it using linear pair property that states that the sum of angles lying on a straight line is 180° .

( x - 22 ) + 135 = 180°Remove the brackets

x - 22 + 135 = 180Subtract 22 from 135 and as 135 is is greater than 22 the sign will be positive

x + 113 = 180Subtract 113 from both the sides

x = 180 - 113x = 67°

Thus the correct answer is option d that is x = 67

HELP ME HEP ME PLEASEEEE IM DESPRATE

Answers

Answer: 30 degrees

Step-by-step explanation:

90 - 60 = 30

How do you solve 2y=1/2(98x+38)?

Answers

Answer:

y=24.5x+9.5

Step-by-step explanation:

simplify

2y=1/2(98x+38)

distribute 1/2

2y=49x+19

divde the each term with 2

y=24.5x+9.5

What would the radius of the circle be if the diameter is 20ft?​

Answers

Answer:

The radius is 10

Step-by-step explanation:

Answer:

Radius: 10ft

Step-by-step explanation:

The radius is half of the diameter.

#2 Identify the number of TERMS and DEGREE of the polynomial. *
5x4 + 12

Answers

Answer:

Step-by-step explanation:

number of terms=2

degree=4

The volume of a cylinder is 128(pi)cm^3. The height of the cylinder is twice the length of the radius. Find the measure of the radius.

Answers

Answer:

128/2 = 64 which gives you the height

sq root 64 = 8 which gives you the diameter

8/2= 4cm which is the radius (answer)

what's the price of something that's $69.80 but has a 60% discount ​

Answers

Answer:

$116.33.

Step-by-step explanation:

By proportion it is:

69.80 / 0.60

= $116.33.

Use the product rule to simplify the radical.
[tex]\sqrt{x} 336[/tex]

Answers

Hopes this helps:

Answer: x^168

Please mark as brainlist if it’s right

Carly missed 22.5% of the questions on
the last test, and the rest of the questions
were correct. She had 31 questions
correct. How many questions were on the
test?

Answers

Answer:

40 questions

[tex]correct \: questions = (100 - 22.5)\% \\ = 77.5\% \\ let \: total \: questions \: be \: x \\ = > 77.5\% \times x = 31 \\ \frac{77.5}{100} \times x = 31 \\ 77.5x = 3100 \\ x = 40 \\ = 40 \: questions[/tex]


Shade the 10 x 10 grid below to represent 42%.

Answers

Answer:

Ok so you shade in 42 of the squares in the grid. That would mean there would be 68% unshaded.

Step-by-step explanation:

what is an integer function?

Answers

Answer:

The INTEGER function returns an integer representation of a number or character string in the form of an integer constant.

Step-by-step explanation:

Guys i need these answers badly so i would appreciate if someone responded
Thanks !

Answers

Answer:

Y is the midpoint of XZ, so XY = YZ

20x - 30 = 12x + 1020x - 12x = 10 + 308x = 40x = 5

Find XZ:

XZ = 2(XY) = 2(20*5 - 30) = 140

The answer is:

x = 5 and XZ = 140

------------------------

B is the midpoint of AC, so AB = BC

4x + 3 = 2x + 154x - 2x = 15 - 32x = 12x = 6

Find AC:

AC = 2(AB) = 2(4*6 + 3) = 54

The answer is:

x = 6, AC = 54

How do I do this? Don’t know what to do with the 50

Answers

Answer:

I think it resembles the space of the primmer if that makes sense but basically I don't think you have to mind it. I think you can just regard it    

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

180 -60 -65 = 55

180 - 55 -50 = 75

180 - 75 - 35 = 70

Which is the same as moving the decimal point 3 places to the right in a
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Answers

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Can somebody help me

Answers

Answer:

22x

Step-by-step explanation:

Step-by-step explanation:

13) x = 17sin(59°)

x = 14.57

14) x = 17sin(60°)

x = 14.72

Cara pays $128.11 each month to the bank of Brazil. How many months will it take her to pay off her $ 4,099.52 debt?​

Answers

Answer:

the answer will be 32 months

Step-by-step explanation:

just divide 4,099.52 divided by 128.11 = 32

and that is your answer

i hope it helps :)


Help me find the coordinates and it’s a translation and reflection . Please help me!

Answers

Answer:

Download photo math and Socratic

Step-by-step explanation: it works

Shannon is making a rocket by folding a paper. She needs a piece of paper with a area of 84 square inches.Shannon has a piece of paper with a length of 14 inches. She will trim the paper to make it the correct width. What will the width of the paper need to be

Answers

Answer:

the 42 width of the paper need

What is the sum of the interior angles of an octagon?

Answers

Answer:

1080 degrees

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180(6) = 1080

Answer:

1080°

Step-by-step explanation:

What is the angle sum of Octagon?

1080°

The sum of all the internal angles of any octagon is 1080°. As with all polygons, the external angles total 360°.

A=2(1+2)a2 this is the formula

find the value of 365¹ ​

Answers

Anything to the first power is zero. The answer is zero

Answer:

73

Step-by-step explanation:

sorry if im wrong

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