33.5k views
4 votes
9) The length of the shorter leg of a 30° -60° - 90° triangle is 24 meters. Find the length of the hypotenuse.



1 Answer

11 votes

Answer:

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

User Adam Hopkinson
by
8.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories