...1.A hiker walks due north from A and after 8km reaches B. She then walks a further 8km on a bearing of 120degrees to C. Work out a the distance from A to C and b the bearing of C from A.

make a sketch ... ABC is equilateral

2.A helicopter flies on a bearing of 200degrees from A to B, where AB =70km. It then flies on a bearing of 150deg from B to C, where C is due south of A. Work out the distance of C from A.

make a sketch, determine the measure of angle B, and then use the law of cosines.

3.Two radar stations A and B are 16km apart and A is due north of B . A ship is known to be on a bearing of 150deg from A and 10km from B. Show that this information gives two positions for the ship, and calculate the distance between these two positions.

make a sketch ... ambiguous case of the law of sines.