Question

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter.

Answer 1

it would be about 55 meters

Answer 2

Answer: 55 meters

Explanation:

Let the height of the building be 'h'.

Since building is standing vertical to the ground making right angle.

Then , the triangle formed is a right triangle .

The given angle of elevation :
`32^(\circ)`

Using trigonometry , we have

`\tan\theta=\frac{\text{Perpendicular}}{\text{Base}}\\\\\tan(32^(\circ))=(h)/(88)\\\\\Rightarrow\ 0.6248693519=(h)/(88)\\\\\Rightarrow\ h=0.6248693519*88=54.988502967\approx55\text{ meters}`

Hence, the approximate height of the building = 55 meters