The tangent of an angle is 3.4. What is the measure of the angle to the nearest tenth?

Solution:

Given, the tangent of an angle is 3.4

Let the angle be θ

tanθ = 3.4

We have to find the value of θ

To find θ, take tan inverse on both sides,

θ = tan^-1(3.4)

On simplification,

θ = 73.61°

Therefore, the measure of the angle to the nearest tenth is 73.61°

The tangent of an angle is 3.4. What is the measure of the angle to the nearest tenth?

Summary:

The tangent of an angle is 3.4. The measure of the angle to the nearest tenth is 73.61°.