The document discusses angle of elevation and angle of depression concepts to solve two problems. In the first problem, given the angle of depression of 6° of a buoy from a 130 ft tall lighthouse, the distance from the base of the lighthouse to the buoy is calculated to be approximately 1,237 feet. In the second problem, a car is observed from a 100 ft tall building, and given the initial angle of depression of 22° changes to 46°, the distance traveled by the car is calculated to be about 151 feet.

2. Angle of Elevation Angle of Depression Some Vocabulary

3. The angle of depression of a buoy from the top of a lighthouse 130 feet above the surface of the water is 6°. Find the distance x from the base of the lighthouse to the buoy. tan Θ = tan 6° = 130 x x = ≈ 1,236.9 130 tan 6° To the nearest foot, the buoy is 1,237 feet from the base of the lighthouse 130 6° Θ x

4. From the top of the 100-ft-tall building a man observes a car moving toward the building. If the angle of depression of the car changes from 22° to 46 ° during the period of observation, how far does the car travel? The car travels about 151 feet. 46° 22° 22° 46° 100’ x d