# Answer on Trigonometry Question for Javier Rodriguez

Question #1146

Two cars leave the same place at the same time. The first drives in a straight line N 35 Degrees W at 30 miles per hour and the second drives in a straight line N 12 Degrees E at 40 miles per hour. After 1 hour, how far apart are the cars(to the nearest mile)?

## Expert's answer

The distance between the cars equals to the side of triangle with other two sides of 30 and 40 miles and the

angle between them of (35+12)= 47 degrees.

According the Law of cosines:

C^{2} = a^{2}+b^{2} - 2 ab cos(theta)

C^{2} = 30^{2}+40^{2}-2*30*40*cos(47) = 863.2

C = 29.4 miles.

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