Solve for x. round your answer to two decimal places. show your work for full credit.
a right triangle is shown with the hypotenuse labeled x. one angle has a measure of thirty degrees, and the opposite leg has a length of ten.

This is what is known as a 30-60-90 triangle. This means that its angles are 30 degrees, 60 degrees, and 90 degrees. The leg opposite the 30 degree angle is the short leg. To find the long leg, you multiply the length of the short leg by the square root of three. To find the length of the hypotenuse, which is x in this case, double the length of the short leg. Since the short leg is 10, double that. Therefore the answer is x = 20.

Ps. You could also do x = 10/sin(30 degrees) because sine is opposite over hypotenuse. You still would've gotten the same answer.