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Trig help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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|dw:1437096534099:dw| What are the values of x and y? How I am I supposed to solve this?
anonymous
  • anonymous
This is about the properties of a 30-60-90 triangle. In a 30-60-90 triangle, the sides will always be proportionate to each other like this. |dw:1437096781023:dw| The side opposite to 30 degrees is always half of the hypotenuse and the side opposite the 60 degrees is the short side * \(\sqrt{3}\).
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x= 42 y= 21?

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anonymous
  • anonymous
The side opposite 30 degrees is half of the hypotenuse. Is 21 half of \(21\sqrt{3}\)?
-Welp-
  • -Welp-
y= \[10.5\sqrt{3}?\]
mathstudent55
  • mathstudent55
yes
mathstudent55
  • mathstudent55
y is opposite the 30-deg angle, so y is the short leg which is half the hypotenuse. \(y = 10.5 \sqrt 3\) You are correct above. Then x is the long leg which is \(\sqrt 3\) times the short leg \(x = (10.5 \sqrt 3)(\sqrt 3) \)

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