Answer:
131.5m
Explanation:
Let's go ahead and sketch the given problem;
Let's go ahead and convert the angle of depression to degrees only as seen below;
[tex]18\text{ degr}ees\text{ 30'}=18^{\circ}+\frac{30}{60}=18+0.5=18.5^{\circ}[/tex]We can go ahead and solve for x which is the horizontal distance between the lighthouse and the buoy as seen in the above image;
[tex]\begin{gathered} \tan 18.5=\frac{44}{x} \\ x\tan 18.5=44 \\ x=\frac{44}{\tan 18.5} \\ x=131.5m \end{gathered}[/tex]
