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°.