Question

Dave is standing 250 m from the building and measure the angle of elevation to the top of the building to be 39° if David eyes 158 cm from the ground what is the height of the building

Answer 1

The height of the building is H = 360.44 m

Explanation:

From the Δ ABC

AB = x

CD = BE = 250 m

BC = DE = 158 m

Height of the building H = AB + BC = x + 158 ------ (1)

In the Δ ABC

`\tan 39 = (AB)/(BE)`

`0.809 = (x)/(250)`

x = 202.44 m

Put this value of x in equation (1) we get

Height of the building H = 202.44 + 158

H = 360.44 m

Therefore the height of the building is H = 360.44 m