# 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

#### Answer

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