Question

Right angle triangle problem solve for x

Answer 1

Since the side labeled 3 is 1/3 of 9 it's safe to assume the angle opposite is 1/3 of 90 degrees, making it 30 degrees. Here we are gonna use sin. The formula is gonna be sin(30)=3/x which can be turned into x(sin(30))=3 then divide both sides by sin(30) getting x=6. For Y, you're going to do Pythagorean Theorem. First, take 6^2 and subtract 3^2 which is 25 then square root that to get 5 which is the height of the smaller triangle. Then Pythagorean theorem again, 5^2 plus 9^2 equals 106 square root that to get roughly 10.3. Getting you the answeres of X=6 and Y=10.3