anonymous
  • anonymous
Two cars leave from the same point (A) and travel along a straight road, which are at angle of 78° to each other. If their speeds are 120 km/h (truck) and 90 km/h (car) respectively, how far apart will they be after one half hour? a. Draw a diagram. b. Distance = speed x time
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Distance traveled by car 1 = 60 Distance traveled by car 2 = 45 Now, we can use the rule of cosines, \( \sqrt{60^2 +45^2- 2\times\cos 78^\circ\times60 \times 45 } = \cdots \)
anonymous
  • anonymous
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anonymous
  • anonymous
How did you get the distance? Since you both have different answers?

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anonymous
  • anonymous
Law of cosines:\[c ^{2} = a ^{2} + b ^{2} - 2abcos(\gamma)\] So: sqrt(60^2 + 30^2 - 2*30*60*cos(78)) = ~61
anonymous
  • anonymous
why 30 lauriy? Am I missing something ...
anonymous
  • anonymous
Sorry not 30 but 45... sqrt(60^2 + 45^2 - 2*45*60*cos(78)) = ~67.1
anonymous
  • anonymous
Uhm- I still don't understand how the distance go calculated? Like, how did you get 60, and 45? what steps? I understand the cos law, Thanks
anonymous
  • anonymous
120km/h means 120 in 1 hour. So if he only has half an hour, he will do 60 km.
anonymous
  • anonymous
Oh wow! LOL, that makes sense! Thanks a bunch!

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