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Nady [450]
3 years ago
10

from an observer o, the angles of elevation of the bottom and the top of a flagpole are 40° and 45° respectively.find the height

of the flagpole?​
Mathematics
1 answer:
maksim [4K]3 years ago
6 0

Answer:

Take a look of the image below, we can think on this problem as a problem of two triangle rectangles.

We can see that both triangles share the adjacent cathetus, then the height of the flagpole is just the difference between the opposite cathetus.

Remember the relation:

Tan(a) = (opposite cathetus)/(adjacent cathetus)

So, if we define H as the height of the cliff

X as the distance between the observer and the cliff

and h as the height of the flagopole

we can write:

tan(40°) = H/X

tan(45°) = (H + h)/X

Notice that we have two equations and 3 variables (we should have the same number of equations than variables) then here is missing information, and we can't get an exact solution for the height of the flagpole.

But we can write it in terms of the height of the cliff H, or in terms of the distance between the observer and the cliff.

We want to find the value of h.

If we take the quotient between both equations, we get:

Tan(45°)/Tan(40°) = (H + h)/H

1.192 = (H + h)/H

1.192*H = H + h

1.192*H - H = h

0.192*H = h

So the height of the flagpole is 0.192 times the height of the cliff.

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Ray is correct because 84/7 = 12
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For lunch, Kile can eat a sandwich with either ham or a bologna and with or without cheese. Kile also has the choice of drinking
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Answer:

8

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2+2+2+2=8

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4 0
3 years ago
The television station has received/A many complaints about/B
NARA [144]

<u>The television station has received/A many complaints about/B the clothing advertisements, which some/C viewers condemn to be/D </u><u>tasteless</u><u>. No error/E</u>

The correct option is D.

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What is a television station called?

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6 0
2 years ago
Help I need this in like 5 minutes this due
Schach [20]

Answer:

1) 64 yd

2) 1.8 ft

3) 15 ft

4) 4 cm

5) B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
What is the value of x?
AlekseyPX

Answer:

x = 9 cm

create proportional equation:

\sf \dfrac{9}{3x-20}  = \dfrac{72+9}{3x-20+56}

\sf \dfrac{9}{3x-20}  = \dfrac{81}{3x+36}

\sf 9(3x+36) = 81(3x-20)

\sf 27x+324 = 243x-1620

\sf 27x-243x=-1620-324

\sf  -216x=-1944

\sf x = 9

4 0
2 years ago
Read 2 more answers
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