Mathhelp99 Mathhelp99
  • 04-08-2016
  • Mathematics
contestada

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

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Panoyin
Panoyin Panoyin
  • 04-08-2016
         tan(x) = 0.8
tan⁻¹(tan(x)) = tan⁻¹(0.8)
                 x ≈ 38.7
Answer Link
parmesanchilliwack parmesanchilliwack
  • 22-04-2019

Answer:

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

Step-by-step explanation:

Let [tex]\theta[/tex] be the angle,

According to the question,

The tangent of [tex]\theta[/tex] is 0.8,

That is,

[tex]tan\theta = 0.8[/tex]

[tex]theta = tan^{-1}(0.8)[/tex]

[tex]\implies \theta =38.6598082541\approx 38.67^{\circ}[/tex]

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

Answer Link

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