Math
posted by Sanjay .
Point B is 10 KM north of Point A and Point C is 10 Km from B on a bearing of 060 from b. Find the bearing and distance of C from A

Let A be (0,0).
B is then (0,10)
C is 10 km at 060 from B.
Bearings are measured from north in a clockwise direction, which means that C is 10 km at 30° north of east.
So C is at
(0+10cos(30), 10+10sin(30))
=(10+(√3)/2 , 10+10/2)
=(10+(√3)/2 , 15)