A helicopter hovers 650 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 44 degrees. How far off the coast, to the nearest foot, is the island?

The angle of elevation is the angle between a person's horizontal line of sight and an item when they are standing and looking up at it. The angle of depression is the angle between the horizontal line of sight and the object when a person is standing and looking down at something.

Given

tanθ = height/ base

let base be d

tan θ = height/d

tan(90-44) = 650/d

tan 46 = 650 /d

d = 650 * tan 46

d = 627.69 = 628ft

To know more about angles of elevation and depression refer to :

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A helicopter hovers 650 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 44 degrees. How far off the​ coast, to the nearest​ foot, is the​ island?

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What is angles of elevation and depression?

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A helicopter hovers 650 feet above a small island. The figure shows that the angle of depression from the helicopter to point P is 44 degrees. How far off the coast, to the nearest foot, is the island?