Mathematics Higher Level Robert Joinson

©Sumbooks 2002Higher Level59. Trigonometry Mixed Exercise1. Two circles with diameters AO 1 B and BO 2 C intersect atB and C. If AB = 11cm and BC = 9cm, calculate thedimensions of AC and CD.2. BD, the diameter of the circle below, is 12cm in length.ABDA. O1.O 2C.OBDCAD = 11cm and BC = 8cm. Calculate the length of the line AC.3. The diagram shows a river with a post P on its bank. When viewed from two points, A andB, on the other side of the bank, the angles between the lines of sight and the bank are 32°and 58° . If the distance between A and B is 9 metres calculate the width of the river.P.58°4. The diagram on the right shows apentagon ABCDE which is symmetricalabout the line FD. The lengths of AE and EDare 10cm. If AB = 6cm, calculate the sizes ofangles ABC and CDE.5. In the triangle ABC, AB = AC and angle EABC = 70° . If BC = 10cm, calculate thelength of AC.6. A building AB, is observed across a streetfrom the window of a house 7 metres above theground. If the angle of elevation of the top of thebuilding is 23° and the angle of depression of the footof the building is 26° , calculate the height of thebuilding.B32°9 metres7mA23°26°AFDBCAB