Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level56. Sine, Cosine and Tangent Ratios1. Calculate the length of the unknown side, x, in each of the following trianglesa) b) c) d)22cm33°x15cm73°18cm x44°x64°x2. Calculate the sizes of the unknown angle, x in each of the following diagrams.a) b) c) d)2.8cm x3.2cm4.1cm5.4cm3.5cm5.2cm6.0cmxx x12.3cm4.9cm3. In the diagram below, AE = 10cm, BD = 7cm and ∠ACE= 22° . Calculate the sizes of thelines CD, AC and EB. Calculate also the size of angle DEB.AB10cm7cmED4. The diagram shows the positions of three towns, A, B and C.The bearing of town B from town C is 235° . The distancebetween towns A and B is 10.5km, and the distance betweentowns B and C is 9km. Calculate a) the bearing of town Afrom town B and b) the distance from town A to town C.5. The diagram below shows the roof truss of a house. Itsheight in the middle is 2 metres, and the angle between thehorizontal and the roof is 28° . It is symmetrical about theline AC. Calculate a) the width of the truss and b) the angle xif point D is half way along AB.AB22°10.5kmAC9km55°NCD2mxC28°B