Question 762885: Two cars A & B start from the same point at the same time and travel along straight roads that form 60º with each other. After 2 hours, car A has traveled 120km and car B traveled 100km. How far apart are the cars after two hours?
(Please Show Step)
Answer by josgarithmetic(39630)   (Show Source):
You can put this solution on YOUR website! Arrange in Cartesian points. Car B travels along the positive x axis from the origin; and car A travels 60 degrees rotated counterclockwise from the origin. The coordinates for B after two hours are (100, 0). The coordinates for A after two hours are (120*cos(60), 120*sin(60)). That is, for A, (120*(1/2), 120*sqrt(3)/2). Simplifying more, A is at (60, 60*sqrt(3)).
Now, use the distance formula to find the distance from (100, 0) to (60, 60*sqrt(3)). I am letting you do that part.
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