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# 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°.

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