PLEASE HELP ASAP A helicopter hovers 500 feet
above a small island. The
figure shows that the angle of
depression from the helicopter
to point P is 48º. How far off
the coast, to the nearest foot, is
the island?
d ft
(Round the answer to the nearest whole number.)

d = 450 ft

Step-by-step explanation:

Hi there!

First, we can find the angle in the triangle at the point of the helicopter, the angle opposite . Subtract 48° from 90°:

90-48=42

Now, given that this is a right triangle and we have an angle and the side adjacent the angle, we can solve for by using the tangent ratio:

Replace θ with 42°, "opposite" with , and "adjacent" with 500 ft:

Multiply both sides by 500 to isolate :

Therefore, d = 450 ft when rounded to the nearest whole number.

I hope this helps!

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13875138answer:

step-by-step explanation:

use a calculator!