Trigonometry Revision Sheet

Trigonometry Revision Sheet Year 10

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

A 4343' B 4617' C 3439' D 5521' E 8927'

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″

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:

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

A 40.2 B 68.5 C 20.4 D 59.1 E 29.9

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

A 15.71 B 9.56 C 12.32 D 11.19 E 17.54

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″

(b) tan 3152′8″

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

2.65 sin 357' (b) cos 1258'

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?

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.

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?

(b) N10W

18. Given sin  = 0.5 , find cos  and tan  . 24. (a) Convert 108º to radian measure, expressing the answer in terms of π.

5 c (b) Convert the radian measurement to degrees. 9