Jonathan B. answered • 12/06/21

Grammar and Math Tutor

since mph means miles per 1 hour and we are looking for the distance between the two planes after 2 hours, our first step is to multiply 375 and 500 by 2 to get 750 miles (375 x 2) for the plane heading due south and 1000 miles (500 x 2) for the plane heading due east.

Since both of these numbers create two sides of a triangle, our next step is to use the Pythagorean Theorem. The Pythagorean Theorem will make it so that we multiply 750 miles by itself to get 562,500 for the side heading due south and multiply 1000 miles by itself to get 1,000,000 for the side heading due east. Now we will add 562,500 and 1,000,000 to get 1,562,500 for the third side, which is the distance between the two planes, or the hypotenuse of the triangle. Finally, we take the square root of 1,562,500 to get 1250 miles between the two planes.