6 North B C 11 km 25° NOT TO A SCALE 32 km 14 km 55° H The diagram shows the positions of two lighthouses A and B, a boat C and a harbour H. C is due east of B. (a) Find the bearing of the harbour from boat C. ................................................. [1] (b) (i) Show that angle CBH = 100c. [1] (ii) Show that BH = 13.7 km, correct to 1 decimal place. [3] © UCLES 2024 0580/41/M/J/24 13 (c) Calculate the bearing of A from B. ................................................. [5] (d) At 1 pm boat C sails 32 km directly to the harbour at a speed of 10 knots. (i) Calculate the time when boat C arrives at the harbour. Give this time correct to the nearest minute. [1 knot = 1.852 km/h] ................................................. [4] (ii) Calculate the distance of boat C to the harbour when boat C is at the shortest distance from lighthouse B. ........................................... km [3] © UCLES 2024 0580/41/M/J/24 [Turn over 14