Question

9) The length of the shorter leg of a 30° -60° - 90° triangle is 24 meters. Find the length of the hypotenuse.

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Answer 1

48 meters

Explanation:

Shorter leg will be the side opposite to the angle measuring 30°. Using sin trigonometric ratio the length of hypotenuse can easily be obtained.

`\sin 30 \degree = (length \: of \: shorter \: leg)/(length \: of \: hypotenuse) \\ \\ \implies \: (1)/(2) = (24)/(l(hypotenuse)) \\ \\ \implies \: {l(hypotenuse)} =2 * 24 \\ \\ \implies \: {l(hypotenuse)} =48 \: m`