When the angle of elevation of the sun is 38 degrees, a building casts a shadow of 45 meters. Approximately how tall is the building?

Question

I need help on my geometry homework!!

Answer 1

First sketch the situation:

Then we can see, since tan(θ) = opposite/adjacent, that tan(38°) = h/45 or h = 45tan(38°) which we can plug in a calculator to get a height of 35.2 meters