Question

Find the missing side (X) round to the nearest hundredth

Answer 1

`\displaystyle 18,28 ≈ x`

Step-by-step Step-by-step explanation:

`\displaystyle (x)/(11) = csc\:37 \hookrightarrow 11csc\:37 = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx x`

OR

`\displaystyle (11)/(x) = sin\:37 \hookrightarrow xsin\:37 = 11 \hookrightarrow (11)/(sin\:37) = x \hookrightarrow 18,278041552... = x \\ \\ 18,28 \approx 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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