If a zipline cable is 1200 ft long and the horizontal distance between the top of the zipline and the ground is 970 ft . The angle of depression from the top of the zipline is 68 degrees.
What is the angle of depression ?
Opposite side is the vertical distance which is 970 ft and the adjacent side is the horizontal distance which is 1200 ft.
Using the arctan function the angle of depression is :
Angle of depression = arctan(opposite/adjacent)
Angle of depression = arctan(970 ft/1200 ft)
Using a calculator or trigonometric table to determine the value of the arctan(970/1200) :
So,
arctan(970/1200)
= 68 degrees (Approximately)
Therefore the angle of depression from the top of the zipline is 68 degrees.