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Solve for x.

10 cm
X
8 cm
X =
[?]°
Round to the nearest hundredth.

Solve for x. 10 cm X 8 cm X = [?]° Round to the nearest hundredth.-example-1
User Sge
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1 Answer

2 votes

Answer:

38.66

Explanation:

  • Since this is a right triangle, we can find the measure of angle x using one of the inverse trigonometric ratios.

When angle x is the reference angle:

  • the 8 cm side is the opposite side,
  • and the 10 cm side is the adjacent side.

Thus, we can find the measure of angle x using one the inverse tangent ratio, whose general equation is given by:

tan^-1 (opposite / adjacent) = θ, where

  • θ is the measure of the reference angle.

Thus, we can plug in 8 for the opposite side and 10 for the adjacent side to find θ, the measure of angle x to the nearest hundredth:

tan^-1 (8 / 10) = θ

38.65980825 = θ

38.66 = θ

Thus x = 38.66°.

User Manual
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