Frisbee Angles

I came up with this when I was throwing a Frisbee with my friends.

IMG_6502

See if you can solve it.

This is how my Dad and I solved it:IMG_6503

We had to break it into 2 right triangles with the same height  C.

Then we found C’s value using the Pythagorean Theorem and some algebra.

Then we used the sine  inverse on the calculator to find 2 angles (19.41 and 66.o3).

This works because the sine  of an angle in a right triangle = the opposite side divided by the hypotenuse.

Finally we used our knowledge that all angles on a triangle add up to 180 degrees to find the last angle (94.56).