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

The height of the building is H = 360.44 m

Step-by-step 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

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

The answer is C, 7.5.

This is because you know that these are the same objects, since it’s asking to find the scale factor. You are able to correlate AB to EF, and that shows a scale UP of 1.5, from 2 to 3. With this scale factor of 1.5, we know that EH will be 1.5 times bigger than AD. So 1.5 x 5 is equal to 7.5.