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

Answer:

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

Step-by-step 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°.