Question

N architect is standing 370 feet from the base of a building and would like to know the height of the building. If he measures the angle of elevation to be 50°, what is the approximate height of the building?

Answer 1

h = 440.94 feet

Explanation:

It is given that,

An architect is standing 370 feet from the base of a building, x = 370 feet

The angle of elevation is 50°.

We need to find the approximate height of the building. let it is h. It can be calculated using trigonometry as follows :

`\tan\theta=(P)/(B)\\\\\tan\theta=(h)/(x)\\\\h=x\tan\theta\\\\h=370* \tan50\\\\h=440.94\ \text{feet}`

So, the approximate height of the building is 440.94 feet