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Dafna11 [192]
3 years ago
15

An engineer on the ground is looking at the top of a building the angle of elevation to the top of the building is 22 degrees th

e engineer knows the building is 450 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?

Mathematics
2 answers:
dexar [7]3 years ago
8 0

Answer:

1114 foot

Step-by-step explanation:

Let the engineer is at a distance of x feet from the base of the building.

Please see the attached image.

In the triangle, we have

\tan22^{\circ}=\frac{450}{x}

Solving the equation for x, we get

x=\frac{450}{\tan22^{\circ}}\\\\x\approx1114

Thus, the engineer is 1114 foot from the base of the building.

vekshin13 years ago
7 0
Hello,

tan 22°=450/d
==>d=450/tan 22°=1113.7890... ≈1114 (ft)

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