Question

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.

Answer 1

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