Answer:
Explanation:
Given
height of light house is [tex]h=97\ feet[/tex]
Angle of depression [tex]\theta =40^{\circ}[/tex]
using Trigonometry we can write as
[tex]\tan \theta =\frac{Perpendicular}{base}[/tex]
[tex]\tan \theta =\frac{97}{x}[/tex]
[tex]x=\frac{97}{\tan 40}[/tex]
[tex]x=115.60\ ft[/tex]
So boat is at a distance of [tex]115.06\ ft[/tex]
