Question

Solve for x please and round

Answer 1

`\displaystyle 74,4`

Explanation:

`\displaystyle (x)/(67) = cot\:42 \hookrightarrow 67cot\:42 = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x`

OR

`\displaystyle (67)/(x) = tan\:42 \hookrightarrow xtan\:42 = 67 \hookrightarrow (67)/(tan\:47) = x \hookrightarrow 74,411038494... = x \\ \\ 74,4 ≈ x`

Information on trigonometric ratios

`\displaystyle (OPPOCITE)/(HYPOTENUSE) = sin\:θ \\ (ADJACENT)/(HYPOTENUSE) = cos\:θ \\ (OPPOCITE)/(ADJACENT) = tan\:θ \\ (HYPOTENUSE)/(ADJACENT) = sec\:θ \\ (HYPOTENUSE)/(OPPOCITE) = csc\:θ \\ (ADJACENT)/(OPPOCITE) = cot\:θ`

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