Question

A ship's sonar detects a submarine 880 feet below a point on the ocean's surface 1450 ft dead ahead of the ship. to the nearest degree, find the angle x.

Answer 1

The measurement x is 31°

Explanation:

I redid the answer below and got the same one. Hence, you know what your doing, dude.

Answer 2

The situation is shown in the picture attached.

You are given the two legs of the rectangular triangle, therefore, in order to find the angle, you need to apply the tangent definition:
tan(x) = Opposite leg / Adjacent leg

Now, invert the formula:
x = tan⁻¹(O / A)
= tan⁻¹ (880 / 1450)
= tan⁻¹ (0.60689)
= 31.25°

Hence, angle x is 31°.