Use the Pythagorean Theorm for right triangles where the squares of the two legs equal the square of the hypotenuse. [tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex] Plug in the known leg and hypotenuse. [tex]{15.3}^{2} + {b}^{2} = {35.6}^{2} [/tex] Simplify by squaring. [tex]234.09 + {b}^{2} = 1267.36[/tex] [tex] {b}^{2} = 1033.27[/tex] Isolate b by square rooting both sides. [tex]b = 32.14[/tex] The result is rounded