Jerry bicycles from his dorm to the local fitness center: 3.06 miles east and 2.07 miles north. Cindy's apartment is located 1.5 miles west of Jerry's dorm. If Cindy is able to meet Jerry at the fitness center by bicycling in a straight line, what is the length and direction she must travel?

1 answer

she must go north 2.07
she must go east 1.5+3.06 = 4.56

Tan heading north of east = 2.07/4.56
so heading = 24.4 degrees north of east
which is 90-24.4 = 65.6 true compass heading

distance = sqrt (2.07^2 + 4.56^2)