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
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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
|dw:1328198470260:dw|
anonymous
  • anonymous
How did you get the distance? Since you both have different answers?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

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!

Looking for something else?

Not the answer you are looking for? Search for more explanations.