Question

(Bonus) An observer is posted 150 ft. above water level and records two angles of depression to a boat as the boat heads toward shore. The first was 28° and the second was 42°. How far did the boat travel in the time between the two recordings?

Answer 1

Answer on question 34179 – Math – Geometry

An observer is posted 150 ft. above water level and records two angles of depression to a boat as the boat heads toward shore. The first was $28{}^{\circ}$ and the second was $42{}^{\circ}$. How far did the boat travel in the time between the two recordings?

Solution

Using the definition of sine we get

$$x = 150 \sin 28 \approx 70.42;$$ $$x + y = 150 \sin 42 \approx 100.37$$

Therefrom

$$y = 29.95 \text{ ft.}$$

Answer: 29.95 ft.

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