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Dovator [93]
3 years ago
12

Write your answer in simplest radical form​

Mathematics
1 answer:
il63 [147K]3 years ago
5 0

Answer:

s=6\sqrt{3}

Step-by-step explanation:

In any 30-60-90 triangles, the sides are in ratio x:x\sqrt{3}:2x, where x is the side opposite to the 30 degree angle and 2x is the hypotenuse of the triangle.

In the given diagram, the hypotenuse is marked as 12 miles. Therefore, the side opposite to the 30 degree angle must be 12 \div 2=6 miles. The final leg, s, must then represent the x\sqrt{3} part of our ratio, hence \implies \boxed{6\sqrt{3}}

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