Question

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

Answer 1

tan(x) = 0.8
tan⁻¹(tan(x)) = tan⁻¹(0.8)
x ≈ 38.7

Answer 2

The measure of the angle is 38.67° (approx).

Explanation:

Let
`\theta` be the angle,

According to the question,

The tangent of
`\theta` is 0.8,

That is,

`tan\theta = 0.8`

`theta = tan^(-1)(0.8)`

`\implies \theta =38.6598082541\approx 38.67^(\circ)`

Hence, the measure of the angle is approximately 38.67°.