My Math Forum Solving a triangle

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 December 10th, 2016, 03:48 PM #1 Newbie   Joined: Dec 2016 From: United States Posts: 2 Thanks: 0 Solving a triangle For the problem in the link below, I need to find the exact value of angle "A" so I used Pythagorean Theorem to get $\displaystyle \frac{12}{\sqrt{160}}$ How is the answer $\displaystyle \frac{\sqrt{10}}{3}$? https://www.flickr.com/photos/145166...posted-public/ Last edited by haleywyn; December 10th, 2016 at 03:54 PM.
December 10th, 2016, 03:56 PM   #2
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Quote:
 Originally Posted by haleywyn In the picture attached, I need to find the exact value of angle A, and I used the Pythagorean theorem to get Code: \frac{12}{\sqrt{160}} so I don't understand the correct answer.
You almost have it right. The hypotenuse is $\displaystyle \sqrt{4^2 + 12^2} = \sqrt{160}$. And we know that $\displaystyle csc(A) = \frac{1}{sin(A)} = \frac{\sqrt{160}}{12}$.

-Dan

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