Question

During WWII, German U-boats would dive 150 meters below the surface. If an enemy ship was 330 meters away on the surface, at what angle of elevation x should the U-boat shoot to hit the ship? (round to the nearest whole degree)

Answer 1

24°

Explanation:

The diagram attached is a pictorial representation of the position of the Gun Boat and the Enemy ship. We want to determine the given angle.

[TeX]Tan \theta= \frac{Opposite}{Adjacent}[/TeX]

[TeX]Tan \theta= \frac{150}{330}[/TeX]

[TeX] \theta= arctan (\frac{150}{330})[/TeX]

[TeX] \theta= 24.4^{0}[/TeX]

The angle of elevation is 24° to the nearest degree.