<p> Trigonometry Revision Sheet Year 10</p><p>1. If sin  = 0.34, then tan  is: 4. The size of the angle, c, in the figure below is: A 0.36 B 3.6 C 0.66 D 70 E 20</p><p>A 4343' B 4617' C 3439' D 5521' E 8927'</p><p>2. If tan  = 0.834, then the angle  equals: 5. The length of the side, d, in the figure below is A 5630′43″ closest to: B 8340′0″ C 834′0″ D 3949′41″ E 3329′17″</p><p>A 150 B 310 C 50 D 60 E 340 3. The length of the side, a, in the figure below is: 6. The length of the side, e, in the figure below is closest to:</p><p>A 134 A 37.4 B 153 B 27.8 C 84 C 18.6 D 40 D 22.5 E 64 E 33.6 10. 265T equals: 7. The length of the side, b, in the figure below is: A N85W B N75W C W75N D S75W E S85W</p><p>A 40.2 B 68.5 C 20.4 D 59.1 E 29.9</p><p>8. The length of the side, f, in the figure below is: 11. A plane flies for 500 km on a bearing of 12516'T. How far south is the plane from its starting point? A 289 km B 408 km C 707 km D 865 km E 612 km</p><p>A 15.71 B 9.56 C 12.32 D 11.19 E 17.54</p><p>9. From the top of a vertical cliff, 150 m high, the angle 12. The diameter of a vertical cone is 12 cm and the of depression to a ship is 529'. From the base of the length of the slant edge is cliff, the distance to the ship is closest to: 15 cm. The semi-vertical angle of the cone is: A 1563 m A 2334' B 1570 m B 2335' C 151 m C 2148' D 149 m D 538' E 152 m E 537 13. Using your calculator, determine the following 19. Find the length of the side, i, in the figure below. correct to 4 decimal places: (a) cos 815′32″</p><p>(b) tan 3152′8″</p><p>14. Find the value for each of the following (correct to 20. Find the size of the angle, j, in the figure below. 3 decimal places): (a) 283.7 tan 34</p><p>2.65 sin 357' (b) cos 1258'</p><p>15. Find the size of the angle, g, in the figure below, 21. A post 10.3 m high casts a shadow 6.4 m long. correct to the nearest minute. What is the angle of elevation of the sun to the nearest degree?</p><p>16. Find the length of the side, h, in the figure below. 22. A chord of a circle, radius 16 cm, is 12 cm long. Calculate the angle the chord subtends at the centre of the circle.</p><p>17. Change the following to true bearings: 23. A hiker travels for 12.5 km on a bearing 316T. (a) S57W How far north of the starting point is the hiker?</p><p>(b) N10W</p><p>18. Given sin  = 0.5 , find cos  and tan  . 24. (a) Convert 108º to radian measure, expressing the answer in terms of π.</p><p>5 c (b) Convert the radian measurement to degrees. 9 </p>