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
