Question

Please help me answer this math question

Answer 1

Use the Pythagorean Theorm for right triangles where the squares of the two legs equal the square of the hypotenuse.

`{a}^(2) + {b}^(2) = {c}^(2)`
Plug in the known leg and hypotenuse.

`{15.3}^(2) + {b}^(2) = {35.6}^(2)`
Simplify by squaring.

`234.09 + {b}^(2) = 1267.36`

`{b}^(2) = 1033.27`
Isolate b by square rooting both sides.

`b = 32.14`
The result is rounded