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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?

User YanivGK
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2 Answers

11 votes
The answer is 22. The hypotenuse is twice the length of the of the side opposite the 30 degree angle.
User Makro
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13 votes

Answer:

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

User Kazhiyur
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