An angle of depression

The lighthouse sees a ship at an angle of depression of 25°. The observer from the lighthouse is 82 m above sea level. How far is the ship from the top of the lighthouse?

Correct answer:

x =  194 m

Step-by-step explanation:

$$\begin{gathered} h=82\text{m} \\ \alpha =25{}^{\circ } \\ \sin \alpha =\frac{h}{x} \\ x=h/\sin \alpha =h/\sin 25°=82/\sin 25°=82/0.422618=194=194\text{m} \end{gathered}$$

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