Question

the fire hydrant sits 72 feet from the base of a 125-foot buiding. Find the ANGLE OF ELEVATION from the fire hydrant to the top of the building. *

Answer 1

60°

Explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between angles and sides in a right triangle. Here, we're given the side Adjacent and the side Opposite the angle of interest. This makes it appropriate to choose the relation ...

Tan = Opposite/Adjacent

For our angle of elevation α, this means ...

tan(α) = 125/72

α = arctan(125/72) = 60.058°

α ≈ 60°

The angle of elevation is about 60°.