To find the measure of an angle when the tangent value is given, we can use the inverse tangent function (also known as arctangent). In this case, the tangent of the angle is 08. First, we should clarify the value of the tangent; it seems to reference 0.8, assuming ’08’ represents a decimal.
Using a scientific calculator or a trigonometric table, we can find the angle whose tangent is 0.8. When we input this into the calculator, we use the function:
angle = arctan(0.8)
Calculating this gives us an angle of approximately 38.7 degrees. Hence, the measure of the angle, rounded to the nearest tenth, is:
38.7°
In summary, if the tangent of an angle is 0.8, the angle itself is approximately 38.7 degrees when rounded to the nearest tenth.