Pei Hwa Applications Of Trigonometry Practice 1

1 PEI HWA SECONDARY SCHOOL ELEMENTARY MATHEMATICS 2024 PROGRESSIVE MASTERY 1 SECONDARY 4N Name: ___________________________ ( ) Class: ____________ Date: ______________ 1 In the diagram below, AC = 72 m, AB = 55 m and BC = 68 m. The bearing of B from A is 230 . Find (a) the angle BAC, Answer ……………………………….. [2] (b) the bearing of C from A. Answer ……………………………….. [1] ________________________________________________________________________ A B C 55 m 72 m 68 m North

2 4 A, B and C are three points that lie on level ground. AB = 3.2 km, BC = 3.8 km, angle 73BAC= and the bearing of B from C is 142 . (a) Find (i) angle ACB, Answer ………………………….…… [2] (ii) the shortest distance from C to AB. Answer ………………………….… m [3] (b) A tower is erected at B. The angle of depression of C when viewed from the top of the tower is 55 . Find the height of the tower in metres. Answer …………………………..… m [2] _________________________________________________________________________ END OF PAPER 3.2 km 73 N A B C N 142 3.8 km