Answered

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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.
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