Question

From a point on a cliff 75 feet above water level, an observer can see a shipThe angle of depression to the ship is d^ How far is the ship from the base of the to the nearest foot?

Answer 1

52feet

Explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot