A helicopter hovers 500 feet above a small island. The figure shows that the angle of depression from the helicopter to point p is 50. How far off the coast to the nearest foot is the island.

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25-04-2018
Mathematics

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A helicopter hovers 500 feet above a small island. The figure shows that the angle of depression from the helicopter to point p is 50. How far off the coast to the nearest foot is the island.

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idegollacion20 idegollacion20 · Answer 1 · 2018-05-05T06:31:09+02:00

idegollacion20 idegollacion20

05-05-2018

In the problem, we were asked to find the distance from the base towards the island. First, we need to calculate for theta. So, 90-50 = 40°
Remember mnemonics, SOH CAH TOA. Since given is the angle and the altitude, we are going to use the tangent function.
tan40° = d/500
= 419.54 or approximately 420 feet.
The island is 420 feet away from the location underneath the helicopter.

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