Right triangle question

Question

The question is: Find the exact value of x in a right triangle.

 

     |\

11 |  \ X

    |    \

    |____\31 degrees

 

I tried to draw a picture of the triangle. Basically the left hand side is 11 and i am only given 31 degrees for the bottom right corner and X for the hypotenuse.

Answer 1

sin 31° = 11/x

0.5125 ≈ 11/x

0.5125x ≈ 11

x ≈ 21.46

 

An exact answer is not possible with the angle = 31°

 

If the angle was 30°, x = 22.