Question

Solve for the missing angle

Answer 1

`\displaystyle 55,7`

Explanation:

`\displaystyle 1(41)/(53) = sec\:x \hookrightarrow sec^(-1)\:1(41)/(53) = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ x`

OR

`\displaystyle (53)/(94) = cos\:x \hookrightarrow cos^(-1)\:(53)/(94) = x \hookrightarrow 55,678930951...° = x \\ \\ 55,7° ≈ 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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