The lighthouse keeper that is at the top of a lighthouse that

is 88 ft tall. A ship is sighted that is 1532 ft from the base of

the lighthouse. What is the angle of depression from the top

of the lighthouse to the ship? Round to the nearest

hundredth.

OA) 18.02°

OB) 9.6°

OC) 3.29°

OD 17.41°

Question

Mathematics

Maritza Bullock

16 October, 09:53

The lighthouse keeper that is at the top of a lighthouse that

is 88 ft tall. A ship is sighted that is 1532 ft from the base of

the lighthouse. What is the angle of depression from the top

of the lighthouse to the ship? Round to the nearest

hundredth.

OA) 18.02°

OB) 9.6°

OC) 3.29°

OD 17.41°

+2

Answers (1)

Know the Answer?

Deborah Waller · Answer 1

Step-by-step explanation:

Let θ be the angle of depression i. e the angle between the horizontal and the observer's line of sight.

tanθ = (Height of the light house) / (Horizontal distance of ship from the base of light house)

∴tanθ=88/1532=0.0574

∴θ=tan-1 (0.0574) = 3.290 (2dp)

The lighthouse keeper that is at the top of a lighthouse thatis 88 ft tall. A ship is sighted that is 1532 ft from the base ofthe lighthouse. What is the angle of depression from the topof the lighthouse to the ship? Round to the nearesthundredth.OA) 18.02°OB) 9.6°OC) 3.29°OD 17.41°