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3. A 30°-60°-90° triangle's hypotenuse is 2

2 miles long. How long is the shorter leg?
Write your answer in simplest radical form.

User Sujee
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2 Answers

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Explanation:

The shorter leg will be opposite the 30 degree angle

sin30 = opposite leg / hypotenuse

sin30 = opposite leg / 2 mi ( I THINK the hypotenuse is 2 miles ?)

2 mi * sin 30 = opposite leg

2 * 1/2 = opposite leg = 1 mile long

User Fortunato
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In a 30°-60°-90° triangle, the hypotenuse is twice the length of the shorter leg. Therefore, the shorter leg is (1/2) * 2.2 miles = 1.1 miles.
User YazanGhafir
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