Question

The angle of depression from the top of a cliff to a hiker below is 350. If the cliff is 550 feet high, how far away is the hiker from the base of the cliff? Round answer to the nearest foot.

Answer 1

Answer:

not too sure if its 350 but if it is, here is the calculation, use at ur own risk

Answer 2

The distance between the hiker and the base of the cliff is 1179 feet.

Trigonometric ratio

Trigonometric ratio is used to show the relationship between angles and sides of a right angled triangle.

Let d represent the distance between the hiker and the base of the cliff.

Angle of depression = 35°, hence θ = 90 - 35 = 65°

Using trigonometric ratio:

tan(65) = d / 550

d = 1179 ft.

The distance between the hiker and the base of the cliff is 1179 feet.

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