The scale drawing shows two coastal towns, A and B. The scale of the drawing is 2 cm to 1 km.

1. (a)(i)Measure the bearing of B from A.[1]
2. (a)(ii)Draw the locus of points equidistant from A and B.[1]
3. (a)(iii)(a)A rock, C, is known to be less than 4 km from B and nearer to A than B. Construct and shade the region in which C must lie.[2]
4. (a)(iii)(b)Find the shortest possible distance between A and C.[1]
5. (a)(iv)A boat, D, starts at the point 3.5 km due south of A and sails on a bearing of 075°. Draw the path of D and state, with a reason, whether it is possible that D collides with C.[2]
6. (b)(i)The diagram shows a triangle PQR with PQR = 37°. S is the point on QR such that PSR = 90°, PS = 8cm and SR = 5 cm. Calculate PR,[2]
7. (b)(ii)the shortest distance from S to PQ.[3]

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