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1 vote
You are measuring the height of a lamppost. You stand 40 inches from the base

of the lamppost. You measure the angle of elevation from the ground to the top!
of the lamppost to be 70°. Find the height h of the lamppost to the nearest inch.

User Beaslera
by
9.3k points

1 Answer

3 votes

Answer:

110in

Explanation:

The horizontal distance from where you stand to the lamp post is 40 inches.

Let the height of the lamp post be y inches.

The angle of elevation from the ground to the top!

of the lamppost to be 70°.

The height , y and the horizontal distance, form the legs of a right triangle .

We can use the tangent ratio, to calculate the height of the lamp post .


\tan(70 \degree) = (y)/(40)


y = 40 \tan(70)


y = 109.9

To the nearest inch, the height is 110 inches

User JS TECH
by
7.7k points
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