Triginometry Question, Answer plz? (1 Viewer)

[st1m]

hey guys, umm for some reason i just can't get this question out.

I drew the diagram but i feel like more information is needed to answer it.

The question is:

A motorbike and a car leave a service station at the same time. The motorbike travels on a bearing of 080 degrees and the car travels for 15.7 km on a bearing of 108 degrees until the bearing of the motorbike from the car is 310 degrees. How far, correct to 1 decimal place, has the motorbike travelled?

ok and the Answer from the back of the book is: 7.7 km

anyone knows the working out or how to answer it please don't hesitate to help. Any clues may be helpful as well

Thanks,

bye

 

[tommykins]

x/sin22 = 15.7/sin130 => x = 15.7sin40/sin130 = 7.67 = 7.7

I've uploaded the diagram.

http://img108.imageshack.us/img108/1221/maths1yj0.jpg

 

[st1m]

cool thnx tommykins

lol my diagram wasn't right, i put M as a straight direction

thnx again