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°.