Buggy Directions

To get the answer you had to recall how to calculate displacement. To calculate the displacement vector between two points (or bugs):

(where you want to be) - (where you are) = (displacement you need)

So the displacement Lola should walk through is: ( -4, 3) - (1, -4) = (-5, 7).

But Lola needs distance and heading:

• distance = √(25 + 49) = 8.60
• direction = arc tan( 7/-5 ) = arc tan( -1.4 ) = -54.46°
• (looking at the diagram to adjust the direction): direction = 180° - 54.46° = 125.54°