Answer:
\(\displaystyle 61,9° ≈ x\)
Step-by-step explanation:
We have to determine which trigonometric ratio to use, depending on what is displayed for us, and we will be using the cotangent [or tangent] ratio, however, aside we are solving for an angle measure, we must use the inverse:
\(\displaystyle cot^{-1}\: \frac{8}{15} ≈ 61,92751306° ≈ 61,9° \\ \\ OR \\ \\ tan^{-1}\: 1\frac{7}{8} ≈ 61,92751306° ≈ 61,9°\)
Extended Information on Trigonometric Ratios
\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)
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