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°

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)

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