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

50°

50 degrees

90°

90 degrees

40°

40 degrees

65°

Answer 1

Draw the right triangle with Reed at the surface, the horizontal distance to the anchor (beneath the boat) 22 ft, and the slant distance to the anchor 34 ft. Then

cos θ = adjacent/hypotenuse = 22/34 = 11/17,

θ = arccos(11/17) ≈ 50°.

Answer: 50°.