I've tried to do this question but I don't think I'm getting the right answer. Can anyone please help me? I tried using the cosine law but I'm not sure it that is the correct way to solve this question. The answer I'm getting I think is way off.

Here's the question:Two drivers leave home and travel on straight roads that diverge at 70 degrees. If one driver travels at an average speed of 83.0 km/h and the other travels at an average speed of 95.0 km/h, how far apart will they be after 45 min.

I would really appreciate it anyone could give a suggestion. Thanks very much

2. Originally Posted by katelynn91
I've tried to do this question but I don't think I'm getting the right answer. Can anyone please help me? I tried using the cosine law but I'm not sure it that is the correct way to solve this question. The answer I'm getting I think is way off.

Here's the question:Two drivers leave home and travel on straight roads that diverge at 70 degrees. If one driver travels at an average speed of 83.0 km/h and the other travels at an average speed of 95.0 km/h, how far apart will they be after 45 min.

I would really appreciate it anyone could give a suggestion. Thanks very much
Let car 1 be the car travelling at an average speed of 83 km/hr car and car 2 be the car travelling at an average speed of 95 km/hr.

Consider the triangle ABC where A is the starting point of each car, B is the endpoint of car 1 and C is the endpoint of car 2.

Car 1 has travelled (83)(3/4) = ..... km and car 2 has travelled (95)(3/4) = .... km.

So length of side AB = ...... and length of side AC = ....... And angle at A is 70 degrees. Sub all this stuff into the cosine rule and solve for length of side BC.