Sin 30=y/7 y=3.5ft You would start with your sin equation ( Sin angle= opposite side over hypotenuse)since you are trying to find the Opposite side length. So you would have sin 30 equals y over 7. Then you multiply over 7 to both sides.Last find the value of sin 30( sin 30=.5) and multiply that by 7, your answer is 3.5ft
First error is that the legs are a and b so a should be x and b is 6 and c is 10 the second error is at the end they did not take the square root to get x by itself the real answer should be X^2 +6^2=10^2 X^2+36=100 X^2 =64 X=8