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Mathhelp99 Mathhelp99
  • 04-08-2016
  • Mathematics
Answered

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

Verified Answer :

Panoyin
Panoyin Panoyin
  • 04-08-2016

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

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parmesanchilliwack parmesanchilliwack
  • 22-04-2019

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°.

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