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Solve for X round to the nearest tenth of a degree if necessary

Solve for X round to the nearest tenth of a degree if necessary-example-1

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Answer:

63.4

Explanation:

x° is an acute angle in a right triangle with the opposite and adjacent sides given. That means the relevant trig relation is ...

Tan = Opposite/Adjacent

tan(x°) = 18/9 = 2

The value of the angle is found using the inverse tangent function:

x° = arctan(2) ≈ 63.4°

x = 63.4 . . . . . . . rounded to tenths

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