Introduction to Trigonometry - University of Exeter

Camborne School of MinesUniversity of ExeterIntroduction to Trigonometry Worksheet 1Using trig methods solve the following triangles (i.e. all angles and sides)9.61. 2. 3.12 12 1321.248°4. The angle of elevation of the top of a tower is 36 0 . If the tower is 25m away from theobserver, calculate its height.5. A man 1.8m tall is standing 12m away from a tree. If the angle of elevation of the top of thetree is 24 0 14’, calculate the height of the tree.6. A point K is 12km due west of a second point L and 25km due south of a third point M.Calculate the bearing of L from M.Introduction to Trigonometry Worksheet 2Using trig methods solve the following triangles (i.e. all angles and sides)1. 2. 3.11.2816°64°1928°4. Point Y is 1km due north of point X. The bearings of point Z from X and Y are 26°30’ and42°40’ respectively. Calculate the distance from point Y to point Z.5. A ship steams 4km due north of a point then 3km on a bearing of 040°. Calculate thedirect distance between the starting and finishing points.6. The angles of elevation of the top of a tower from A and B, two points in line with its footare 27° and 32° respectively. If the distance between A and B is 21m, calculate the heightof the tower.ELE pageCSM1027 Maths 1A Foundation