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Fine the missing side lengths. Leave your answers as radicals in the simplest form.

Fine the missing side lengths. Leave your answers as radicals in the simplest form-example-1
User Belizzle
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1 Answer

4 votes

Answer:

x = 33;

y = 3

Explanation:

Use trigonometry:


\sin(30°) = (y)/(6)

Cross-multiply to find y:


y = 6 * \sin(30°) = 6 * 0.5 = 3

Use the Pythagorean theorem to find x:


{x}^(2) = {6}^(2) - {y}^(2)


{x}^(2) = {6}^(2) - {3}^(2) = 36 - 9 = 27


x > 0


x = √(27) = √(9 * 3) = 3 √(3)

User Climmunk
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