Law of sines says: a / sin(A) = b / sin(B) = c / sin(C) where "a" is a leg of the triangle and "A" is its opposite angle. You are given an angle of 31 degrees with its opposite leg being a length of 17. You are then given an angle of 46 degrees and asked to find the length of its opposite side. So you can create the following equation: 17 / sin(31) = a / sin(46) Using a calculator to get the value of the sins (I'll round them to 3 digits for now), we get: 17 / 0.515 = a / 0.719 Now solve for a 17(0.719) = 0.515a 12.223 = 0.515a 12.223 / 0.515 = a a = 23.734 So rounded to tenths of a unit, a = 23.7
