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

Solution:

Given, the tangent of an angle is 0.8

Let the angle be θ

tan θ = 0.8

We have to find the value of θ

To find θ, take tan inverse on both sides,

θ = tan^-1(0.8)

On simplification,

θ = 38.7°

Therefore, the value of θ = 38.7°

Example:

The tangent of an angle is 1. What is the measure of the angle to the nearest tenth?

Solution:

Given, the tangent of an angle is 1

Let the angle be θ

tan θ = 1

We have to find the value of θ

To find θ, take tan inverse on both sides,

θ = tan^-1(1)

On simplification,

θ = 45°

Therefore, the value of θ = 45°

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

Summary:

The tangent of an angle is 0.8. The measure of the angle to the nearest tenth is 38.7°.