Correct. The ladder, wall, and ground form a right triangle; $\displaystyle{a}={10}\usepackage{cmbright}\Huge\$ , $\displaystyle{c}={12}\usepackage{cmbright}\Huge\$ and the distance from the bottom of the ladder to the wall is b. Using the Pythagorean Theorem, $\displaystyle{{a}}^{{2}}+{{b}}^{{2}}={{c}}^{{2}}\usepackage{cmbright}\Huge\$ , so $\displaystyle{{10}}^{{2}}+{{b}}^{{2}}={{12}}^{{2}}\usepackage{cmbright}\Huge\$ . Therefore, $\displaystyle{{b}}^{{2}}={{12}}^{{2}}-{{10}}^{{2}}={144}-{100}={44}\usepackage{cmbright}\Huge\$ . Therefore, $\displaystyle{b}=\sqrt{{{44}}}\usepackage{cmbright}\Huge\$ , which is approximately 6.63 feet.