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Maths Quest General Mathematics Chapter 15 Trigonometric ratios and their applications Test Yourself 1 Trigonometric ratios and their applications Test Yourself Name: ___________________________ All Multiple Choice 1 Which of these triangles is incorrectly labeled? A 2 Which of these statements can be used to find the value of x? B A B C C D E 3 D E x = 8 sin 32° x = 8 cos 32° 8 x= cos 32 x = 8 tan 32° 8 x= tan 32 The exact value of sin 60° is: 3 A B 2 2 C 2 2 D 3 E 3 2 Maths Quest General Mathematics 4 Chapter 15 Trigonometric ratios and their applications Test Yourself The bearing of town B from town A is 050°T. What is the bearing of town A from town B? 7 Which of these can be used to find the value of ? A B A B C D E 5 6 050°T 040°T 130°T 220°T 230°T A ship sails 30 km in a direction of N48°W. What is its distance directly west of the starting point? A 30 sin 48° B 30 cos 48° C 30 tan 48° D 30 sin 42° E 30 cos 42° The direction S30°W is same as: A 030°T B 120°T C 210°T D 300°T E 330°T C D E 8 9 sin 35 6 6 sin 35 sin 9 2 6 92 22 cos 269 6 cos 9 none of these. sin Which of these can be used to find the value of side a? A B C D E a2 = 72 102 (2 7 10 cos 41°) a2 = 72 102 a2 = 72 102 (2 7 10 cos 41°) 7 sin 41 10 a = 7 tan 41° a 2 Maths Quest General Mathematics 9 If the value of sin = Chapter 15 Trigonometric ratios and their applications Test Yourself 5 , then the area 8 12 of the triangle is: A B C D E 10 11 27 cm2 55 cm 2 88 cm2 110 cm2 176 cm2 A B Using Heron’s formula, the area of triangle with sides 6 cm, 7 cm and 9 cm, to the nearest cm2, is: A 11 B 21 C 22 D 261 E 440 The exact radian measure of 30° is: A 6 B 3 C 3 D 6 E none of these. The exact length of arc which subtends an angle of 60° at the centre of the circle with radius 8 cm is: C D E 13 cm 3 3 cm 8 8 cm 3 3 cm 4 4 cm 3 The area of the sector with radius 9 cm and a subtended angle of 45° is: 81 A 8 81 B 4 9 C 8 D 9 E 81 3 Maths Quest General Mathematics 14 The area of the shaded segment is given by: A B C D E 15 Chapter 15 Trigonometric ratios and their applications Test Yourself 8 1 3 1 82 2 1 3 1 82 sin 2 1 3 3 2 1 8 sin 2 1 3 3 none of these. 16 tan is equal to: A 1 cos B sin C sin2 cos2 D sin cos sin E cos 17 Which is the angle in radians moved by the hour hand of a clock in 1 hour? A 12 B 6 C 3 D 4 E 2 18 The value of sin2 200° cos2 200° is: A 0 B 0.1 C 0.5 D 1 E 200 19 A clock has a minute hand 70 cm long. The area that it sweeps when passing through 51 minutes, correct to 2 decimal places is: A 1.31 m2 B 0.16 m2 C 0.22 m2 D 0.45 m2 E 11.0 m2 A ladder 8 m long leans against a wall 5 m high. Which can be used to work out the angle the ladder makes with the wall? A B C D E 5 8 5 cos 8 5 tan 8 8 sin 5 8 cos 5 sin 4 Maths Quest General Mathematics 20 Chapter 15 Trigonometric ratios and their applications Test Yourself The area of the shaded region to the nearest cm2 is: A B C D E 600 cm2 677 cm2 766 cm2 800 cm2 none of these. ..\Test yourself answers\Year 11GM Ch15 TYA.doc 5