Thread: Find Hypotenuse when given two angles and side

Hello. I was hoping someone would be able to help with this problem I have.

I have a right triangle. I need to find the hypotenuse x.

I am given the opposite side of 20 and the θ of 32 degrees. How do I find the hypotenuse with all this?

If you would be able to explain how you got the answer, I would really appreciate it. I know this work isn't going anywhere anytime soon so I would really like to learn how to do this for future reference. Thank you so much guys.

Hello, DreadfulGlory!

In a right triangle, an acute angle is and the opposite side has length
Find the length of the hypotenuse.

Code:

      *
      *   *
  opp *       *    hyp
   20 *           * x
      *               *
      *             32o   *
      *  *  *  *  *  *  *  *  *
                 adj

We know that: .

So we have: .

Hence: .

Therefore: .

Thank you so much. Great answer.