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alex41 [277]
3 years ago
15

Find the missing side lengths leave your answerss as radicals

Mathematics
1 answer:
Sunny_sXe [5.5K]3 years ago
8 0

Answer:

x = 8, y = 4

Step-by-step explanation:

To find x use the sine ratio in the right triangle and the exact value

sin60° = \frac{\sqrt{3} }{2} , thus

sin60° = \frac{opposite}{hypotenuse} = \frac{4\sqrt{3} }{x} = \frac{\sqrt{3} }{2} ( cross- multiply )

x × \sqrt{3} = 8\sqrt{3} ( divide both sides by \sqrt{3} )

x = 8

--------------------------------------------------------------

To find y use the tangent ratio in the right triangle and the exact value

tan60° = \sqrt{3} , thus

tan60° = \frac{opposite}{adjacent} = \frac{4\sqrt{3} }{y} = \sqrt{3} ( multiply both sides by y )

4\sqrt{3} = y × \sqrt{3} ( divide both sides by \sqrt{3} )

y = 4

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