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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 49º. How far off
the coast, to the nearest foot, is the island?

A Helicopter Hovers 500 Feet Above A Small Island The Figure Shows That The Angle Of Depression From The Helicopter To Point P Is 49º How Far Off The Coast To T class=

Answer :

AKPOSEVICTORGO

Answer:

435 ft

Step-by-step explanation:

Reference angle = <P = 49° (angle of elevation)

Opposite side = 500 ft

Adjacent side = d = ?

Apply trigonometric function, TOA.

This:

Tan P = opp/adj

Tan 49 = 500/d

d × Tan 49 = 500

d = 500/Tan 49

d = 434.643369 ≈ 435 ft (to the nearest foot)

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