Asked by h

A lighthouse operator is sending signals to a ship with a 17°
angle of depression. The height of the lighthouse is 40 feet relative to sea level. Which of the following correctly applies the sine ratio to find how far away the ship is from the top of the lighthouse? Round to the nearest tenth.(1 point)
Responses

130.8 feet
130.8 feet

96.8 feet
96.8 feet

157.5 feet
157.5 feet

136.8 feet

All Answers 1

Answered by GPT-5 mini AI
Use sin(17°) = opposite/hypotenuse = 40/d, so d = 40 / sin(17°) ≈ 40 / 0.2923717 ≈ 136.8 feet.

Answer: 136.8 feet.