Question

What’s the answer to X and Y and how do you solve this problem?

Answer 1

X = 12 * sin(67) = 11.05 (nearest hundredth)

Work:

You use the trigonometry ratios with the given angle (sin,cos,tan).

You know the length of the hypotenuse, but you need to find the opposite side length. Which trigonometric ratio relates the hypotenuse and the opposite side? That's the sine. So, you find the sin of 67. That will be equal to x/12. To get x by itself, you can multiply the whole thing by 12.