Question

In a 30-60-90 triangle, the length of the side that is opposite from the 30° angle is 11 inches. What is the length of the hypotenuse in

inches?

Answer 1

The answer is 22. The hypotenuse is twice the length of the of the side opposite the 30 degree angle.

Answer 2

22 inches

Explanation:

We can use SOHCAHTOA to find the length of the hypotenuse;

⇒
`sin\alpha = (opp)/(hyp)`

⇒
`sin(30) = (11)/(hyp)`

⇒
`hyp = (11)/(sin(30))`

⇒
`hyp = 22 in.`

Hope this helps! :D