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Solve for x. Round to the nearest tenth.

Solve for x. Round to the nearest tenth.-example-1

1 Answer

1 vote

Answer:

18.5

Explanation:

You want the length x of the leg in a right triangle that is opposite an angle of 51°, given the adjacent leg is 15 units.

Tangent

The tangent ratio is ...

Tan = Opposite/Adjacent

In this triangle, that means ...

tan(51°) = x/15

Multiplying by 15, we have ...

x = 15·tan(51°)

x ≈ 18.5 . . . units

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