Question

A man is walking along a straight road. He notices the top of a tower. Between the ground where he is standing and the top of the tower, there is a 25 degree angle. If the height of the tower is h = 8m, then what is the distance of the man from the tower

Answer 1

17.2 m

Explanation:

The mnemonic SOH CAH TOA reminds you the relationship between the adjacent side of a right triangle and the opposite side is given by ...

Tan = Opposite/Adjacent

Filling in the given information, we have ...

tan(25°) = (8 m)/distance

distance = (8 m)/tan(25°) ≈ 17.156 m

The man is about 17.2 meters from the tower.