Question

A person in a lighthouse sights a boat in the water. Which is closest to x, the distance between the base of the lighthouse and the boat?

Answer 1

Given

h = 22m

a = 25°

Procedure

In a right angled triangle, the tangent of an angle is: The length of the side opposite the angle divided by the length of the adjacent side

`\begin{gathered} \tan 25=(22)/(x) \\ x=(22)/(\tan 25) \\ x=(22)/(0.466) \\ x=47.17 \end{gathered}`