Mathematics Higher Level Robert Joinson

©Sumbooks2002Higher Level61. Three Dimensional Trigonometry1. A flag pole stands in the middle of asquare field. The angle of elevation of thetop of the flag pole from one corner is 27° .If the flag pole is 12 metres high, calculate27°the lengths of the sides of the field.2. The diagram shows a square based rightVpyramid.a) If the base edges are 20cm, calculate thelength of the base diagonal AB.b) If the angle VBA is 55° , calculate theheight VC.AC55°B3. The diagram shows a cuboid with verticesBABCDEFGH. Its height is 2 metres and itswidth is 3 metres. Angle GHF measures 50°Calculate:a) the diagonal of the base, HFAEDC2mFb) angle CHFc) the diagonal of the box HC.H 50°3mG4. The roof of a building is in theEshape of a triangular prism and isshown in the diagram.BDCalculate:a) the length of BCb) the angle BFC.A50°5m40° 10mCF5. A radio mast is due east of an observer A and 150 metres away. Another observer, B, standsdue north of A on level ground. If the angle of elevation of the top of the mast from B is 28°and the bearing of the mast from B is 132° , calculate the height of the mast.