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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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chestercat
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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 \(21\sqrt{3}\)?
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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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