Answered

Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

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?

Sagot :

itsandypandy

Answer:

22 inches

Step-by-step explanation:

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

⇒ [tex]sin\alpha = \frac{opp}{hyp}[/tex]

⇒ [tex]sin(30) = \frac{11}{hyp}[/tex]

⇒ [tex]hyp = \frac{11}{sin(30)}[/tex]

⇒ [tex]hyp = 22 in.[/tex]

Hope this helps! :D
The answer is 22. The hypotenuse is twice the length of the of the side opposite the 30 degree angle.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.