SOLUTION: The bearing of two boats A and B that left Warri port each with a uniform speed is 045° and x° respectively, After 4 hours, they covered 100km and 120km respectively with B on a be

Algebra ->  Triangles -> SOLUTION: The bearing of two boats A and B that left Warri port each with a uniform speed is 045° and x° respectively, After 4 hours, they covered 100km and 120km respectively with B on a be      Log On


   



Question 1131972: The bearing of two boats A and B that left Warri port each with a uniform speed is 045° and x° respectively, After 4 hours, they covered 100km and 120km respectively with B on a bearing of 105° from A. calculate correct to 1 decimal place.
(i) the value of x.
(ii) the distance between A and B after 2hours.

Answer by josgarithmetic(39628) About Me  (Show Source):
You can put this solution on YOUR website!
A is headed 45 degrees from some reference direction, and B is headed x degrees with regard to that same reference direction. Since B is 105 degrees in relation to A, B is 150 degrees in relation to the reference.

Speed of A:
100%2F4=25 km%2Fhr

Speed of B:
120%2F4=30km%2Fhr

How far A from B after 2 hours:
d%5E2=%2825%2A2%29%5E2%2B%2830%2A2%29%5E2-2%2A25%2A30%2Acos%28105%29

d=sqrt%28%2825%2A2%29%5E2%2B%2830%2A2%29%5E2-2%2A25%2A30%2Acos%28105%29%29-------compute this.