trig word problems
DESCRIPTION
Two basic trigonometric word problemsTRANSCRIPT
Angle of Elevation
Angle of Depression
Some Vocabulary
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 = ≈ 1,236.9130
tan 6°
To the nearest foot, the buoy is 1,237 feet from the base of the lighthouse
1306°
Θx
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