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The tangent of an angle is 0.8. What is the measure of the angle to the nearest tenth?

1) 38.7°
2) 53.1°
3) 56.7°

1 Answer

4 votes

Final answer:

The measure of the angle to the nearest tenth is approximately 38.7°.

Step-by-step explanation:

The tangent of an angle is a ratio of the length of the side opposite the angle to the length of the side adjacent to the angle in a right triangle. To find the measure of the angle, you can use the inverse tangent function (arctan) on a calculator. In this case, since the tangent is 0.8, the arctan(0.8) is approximately 38.7°.

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