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35 votes
How far off the coast, to the nearest foot, is the island?

How far off the coast, to the nearest foot, is the island?-example-1
User Thesilican
by
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1 Answer

15 votes
15 votes

SWe have that:

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:


tan48=(opposite)/(adjacent)

Where:

opposite = 1250 ft

adjacent = d

Substitute the values:


\tan48=(1250)/(d)

Solve for d:


d=(1250)/(\tan48)=1125.51

Round to the nearest whole number 1126

Answer: d = 1126 ft

User Greenleaf
by
2.9k points