Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 28.0 in a direction 60.0 west of north. Jane walks 16.0 in a direction 30.0 south of west. They then stop and turn to face each other.

Answer 1

There should be units on these numbers, so for the sake of the question I will use meters. So this is a problem of a right triangle, 60 degrees plus 30 degrees is 90 degrees, the distances they travel are two sides of the triangle, and the distance between them when they stop and face each other is the third side so let's use the pythagorian theorem:

Side 1(a)= 28.0 m
Side 2(b)= 16.0 m
Hypotenuse = c

a^2 + b^2 = c^2

(28.0)^2 + (16.0)^2 = c^2

784 + 256 = c^2

1040 = c^2

1040^(1/2) = c

c = 32.25 m

When Ricardo and Jane stopped to face each other they were 32.25 meters (or whatever unit you were given) away from each other