Answer: 19.75ft
Explanation:
The line segment AB makes a right triangle inside the rectangular prism, where AB is the hypotenuse. We already know the vertical dimension is 10ft, but we still need the other leg.
This leg happens to be the hypotenuse of the right triangle that can be formed on the bottom face of the prism. In this triangle, we have the measurements of both legs, so we can use the Pythagorean Theorem to solve for the hypotenuse (we’ll call this “c”)
After solving, we now know the value of c and can plug it into the first triangle talked about, where c is now the new leg of the right triangle.
After using the Pythagorean Theorem again, we can see that AB≈19.75ft