6 (a) Town S is 44 km from town R on a bearing of 117°. (i) Using a scale of 1 cm represents 8 km, mark the position of town S. North R Scale: 1 cm to 8 km [2] (ii) Anvi cycles the 44 km from R to S. She leaves R at 13 15 and cycles at a speed of 12 km/h. Work out the time she arrives at S. ................................................. [3] (b) A tower has a height of 16 metres. When Jai makes a scale drawing of the tower it has a height of 20 cm. Work out the scale Jai uses, giving your answer in the form 1 : n. 1 : ................................................. [2] © UCLES 2024 0580/32/F/M/24 13 (c) X, Y and Z are three towns. Z North NOT TO 9.7 km SCALE X 6 km Y X is on a bearing of 288° from Y. Z is on a bearing of 018° from Y. (i) Show that angle XYZ is 90°. [2] (ii) XY = 6km and YZ = 9.7km. Calculate XZ. XZ = ............................................km [2] © UCLES 2024 0580/32/F/M/24 [Turn over 14