Correct. The course is a right triangle with legs of length $\displaystyle{a}={80}\usepackage{cmbright}\Huge\$ and $\displaystyle{b}={150}\usepackage{cmbright}\Huge\$ . Using the Pythagorean Theorem, the hypotenuse of the triangle c satisfies the equation $\displaystyle{{c}}^{{2}}={{a}}^{{2}}+{{b}}^{{2}}={{80}}^{{2}}+{{150}}^{{2}}={6400}+{22500}={28900}\usepackage{cmbright}\Huge\$ , so $\displaystyle{c}=\sqrt{{{28900}}}={170}\usepackage{cmbright}\Huge\$ meters. Therefore, the total length of the course is $\displaystyle{80}+{150}+{170}={400}\usepackage{cmbright}\Huge\$ meters.