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?

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 class=

Respuesta :

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

[tex]\begin{gathered} \tan 25=\frac{22}{x} \\ x=\frac{22}{\tan 25} \\ x=\frac{22}{0.466} \\ x=47.17 \end{gathered}[/tex]