Question

Find x, the angle of depression from the top of a lighthouse that is 170 ft above water level to the waterline of a ship 1084 ft off shore. Round your answer to the nearest tenth of a degree.

Answer 1

The answer to your question is: Ф = 81.1° = 278.9°

Step-by-step explanation:

Data

angle, x, = ?

height = 170 ft

distance 1084 ft

Process

tan Ф = opposite side / adjacent side

tan Ф = 1084 / 170 = 6.37

Ф = tan ⁻¹ (6.37)

Ф = 81.1° or 360 - 81.1 = 278.9°

Answer 2

Find x the angle of depression from the top of a lighthouse that is 184 ft above water level to the waterline of a ship 970 off shore.
Round your answer to the nearest tenth of a degree.
:
We can find the interior angle (A) that is associated with the angle of depression using the tangent
tan(A) = 970%2F184
A = 79.3 degrees
therefore
90-79.3 = 10.7 degrees is the angle of depression