Question

Reed is snorkeling on the surface of the ocean, 22 feet from an anchored boat. The anchor is on the ocean floor, 34 feet away from Reed. What is the angle of depression between Reed and the anchor?(1 point)
Responses

40°

40 degrees

50°

50 degrees

65°

65 degrees

90°

Answer 1

Let the angle of depression be θ. Horizontal distance = 22, hypotenuse = 34, so depth = sqrt(34^2 − 22^2) = sqrt(672) ≈ 25.92.

θ = arctan(depth / horizontal) = arctan(25.92/22) ≈ 49.9° ≈ 50°.

Answer: 50°.