Question 300794
After 2 hours, Plane North is {{{150(2)=300}}} miles north of the airport, and Plane West is {{{200(2)=400}}} miles west of the airport. The two distances form the legs of a right triangle. The distance between them is the hypotenuse of the triangle and can be determined using Pythagorean theorem.
{{{H^2=N^2+W^2}}}
{{{H^2=300^2+400^2}}}
{{{H^2=90000+160000}}}
{{{H^2=250000}}}
{{{H=500}}}
They would be 500 miles apart.