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

Answer:

22 inches

Step-by-step explanation:

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

⇒ $sin\alpha = \frac{opp}{hyp}$

⇒ $sin(30) = \frac{11}{hyp}$

⇒ $hyp = \frac{11}{sin(30)}$

⇒ $hyp = 22 in.$

Hope this helps! :D