For this, you will be doing the pythagorean theorem, which is
. In this case, the legs are 12 and 35 and the hypotenuse is AB. Using this, the equation will look like this:
![12^2+35^2=AB^2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/8x6gozekx3p15i2cbgiqp7knirglqcqnt3.png)
Firstly, solve the exponents:
![144+1225=AB^2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/uhmnlvwuttw5mx8w3p2lwnyd8n0vjtqt7u.png)
Next, add up 144 and 1225:
![1369=AB^2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/s4qkgft4bav8i708zszs884vesixr15e03.png)
Lastly, square root each side, and your answer should be
![37 = AB](https://img.qammunity.org/2019/formulas/mathematics/middle-school/kj7xgm1gay1osr2ugjqq3hzts301eull5f.png)
In short, the hypotenuse is 37 ft, or the last option.