Question

A pier forms an 85° angle with a straight shore. At a distance of 100 feet from the pier, the line of sight to the tip forms a 37° angle. Find the length of the pier to the nearest tenth of a foot. ...?

Answer 1

$\alpha=85^o,a=100,\beta=37^o,b=? \\ \\ \frac{a}{\sin\alpha}= \frac{b}{\sin\beta} \\ \\ \frac{100}{\sin85^o}= \frac{b}{\sin37^o} \\ \\b= \frac{100 \sin37^o}{\sin85^o} =60.4$