The tangent of an angle is 34. What is the measure of the angle to the nearest tenth?

To find the measure of an angle when the tangent is known, we can use the inverse tangent (also known as arctan or tan^-1) function. In this case, we are given that the tangent of the angle is 34.

We can calculate the angle using the formula:

angle = tan-1(tangent value)

Plugging in our value:

angle = tan-1(34)

Using a scientific calculator or any software that has trigonometric functions, we can find:

angle ≈ 88.2 degrees

Therefore, the measure of the angle, rounded to the nearest tenth, is 88.2 degrees.