Two ufpd are patrolling the campus on foot. to cover more ground, they split up and begin walking in different directions. office a is walking at 5 mph directly south while office b is walking at 6 mph directly west. how long would they need to walk before they are 2 miles away from each other?

0.256 hours

Explanation:

Vectors in the plane

We know Office A is walking at 5 mph directly south. Let be its distance. In t hours he has walked

Office B is walking at 6 mph directly west. In t hours his distance is

Since both directions are 90 degrees apart, the distance between them is the hypotenuse of a triangle which sides are the distances of each office

This distance is known to be 2 miles, so

t is approximately 15 minutes

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y

365.25 earth days are in the year of a light year