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A helicopter hovers 1050 feet above a small island.The figure shows that the ang;e of depression from the helicopter to point P is 30 degrees. How far off the coast, to the nearest foot, is the island?

Respuesta :

tan a = opposite side/adjacent side
tan 30 = 1050/ ?
1050/tan30=?
about 1818= ?

The distance form the coast to the helicopter is 1820 ft.

The situation forms a right angle triangle.

Right angle triangle

Right angle triangles are triangle that has one of its angles as 90 degrees.

Therefore, the height of the helicopter is the opposite side of the triangle formed.

How far off the coast to the helicopter is the adjacent side. Therefore,

tan 30°= opposite / adjacent

tan 30° = 1050 / a

cross multiply

a = 1050 / 0.57735026919

a = 1819.75736568

a = 1820 ft

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