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 25.0 in a direction 60.0 west of north. Jane walks 14.0 in a direction 30.0 south of west. They then stop and turn to face each other.

Question

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 25.0  in a direction 60.0  west of north. Jane walks 14.0  in a direction 30.0  south of west. They then stop and turn to face each other.

What is the distance between them?

Express your answer with the appropriate units.

bobpursley · Answer

I would use the law of cosines. draw the figure, you know the angle between, and the two length. sides: 14, 25. Angle between is 30+30 distance^2=14^2 + 25^2 -2*14*25cos60