To find the measure of angle x in the right triangle, we can use the tangent function, as it is defined as the ratio of the opposite side to the adjacent side.
Given:
- Opposite side = 8 (the side across from angle x)
- Adjacent side = 15 (the other leg)
We can use the tangent function:
\[ \tan(x) = \frac{\text{opposite}}{\text{adjacent}} = \frac{8}{15} \]
To find angle x, take the arctangent (inverse tangent):
\[ x = \tan^{-1}\left(\frac{8}{15}\right) \]
Now calculating that:
\[ x \approx \tan^{-1}\left(0.5333\right) \approx 28.07 \]
Rounding to the nearest hundredth:
28.07
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