Question

find the distance of a boat from a lighthouse if the lighthouse is 120 meters tall, and the angle of depression is 16degrees. sketch the problem situation. label the sketch with the given information. setup your right triangle trig function. box your solution. dont forget units

Answer 1

recall your SOH CAH TOA

Answer 2

\[\tan(\theta)?\]

Answer 3

yeap \(\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies adjacent\cdot tan(\theta)=opposite
\\ \quad \\
tan(16^o)=\cfrac{opposite}{120}\implies 120\cdot tan(16^o)=opposite\)