Question

c.) The sonar of a navy cruiser detects a submarine that is 4000 feet from the cruiser. The angle between the water line and the submarine is 34° How deep is the submarine?​

Answer 1

2236.77 feets

Explanation:

From the attached picture, we are to find x, which is the vertical depth of the submarine.

Using trigonometry based on the illustration in the diagram:

Sinθ = opposite / hypotenus

Sinθ = x (depth of submarine) / distance from ship (4000)

Hence,

Sinθ = x / 4000

θ = 34°

Sin34 = x / 4000

0.5591929 * 4000 = x

2236.7716 = x

Hence, depth of submarine = 2236.77 feets