Answer:
132.89 miles
Step-by-step explanation:
Let plane A travel at 130 mph and plane B travel at 150 mph.
After 1.5 hours, the total distance traveled by each plane is:
[tex]A = 1.5 *130\\A = 195\ miles\\B = 1.5 *150\\B = 225\ miles[/tex]
The law of cosines can be used to find the distance (D) between both planes as follows:
[tex]D^2 = A^2+B^2-2AB*cos(36)\\D=\sqrt{195^2+225^2-(2*195*225*cos(36))}\\D=132.89\ miles[/tex]
They are 132.89 miles apart after 1.5 hours.