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Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004 Chapter 10 – Section I: Using the Sine and Cosine Rule 1) The angles of elevation to the top of a mountain are measured from beacons A and B, at sea. If the beacons are 1473 meters apart, how high is the mountain? 2) A roadway is horizontal for 524m from A to B, followed by a 23° incline 786m long from B to C. How far is it directly from A to C? 3) David’s garden plot is in the shape of quadrilateral ABCD. A fence runs around the entire boundary of the plot. How long is the fence? B 102° 12 m A 77.9° 42° 60.1° D 3m C Bearings Bearings 4) For the diagram find: a) the bearing of B from A b) the bearing of C from B c) the bearing of A from C 5) Gus walks for 12.2 km in the direction 123° from camp S and then for 8.9 km in the direction 226° to camp F. a) find the distance b) find the bearing of F from S Homework • Exercise 10I.1, pg 344 – #1, 2, 4 • Exercise 10I.2, pg347 – #3, 5, 8, 9