Mathematics

Home > Mathematics > General Mathematics > HSC Course > Measurement > M6: Applications of trigonometry > Quick quiz: A sample of multiple choice questions for this topic.

M6

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1. Find the value of x correct to 1 decimal place.

right angle triangle

100.7
 207.8
 107.2

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2. What is the true bearing of the point A from O?

compass bearing

220°
 230°
 050°

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3. Calculate Cos105°23' correct to the nearest 4 decimal places.
-0.2652
 -0.2653
 -0.2627

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4.

In triangle XYZ, angleX = 50°, angleY = 48°, sides x and y are 4cm and 3.8 cm respectively.

Which diagram shows this information correctly?

triangle XYZ 1


triangle XYZ 2

triangle XYZ 3

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5. Find the size of the angle marked theta, correct to the nearest minute.

triangle

54°20'
 0°49'
 54°33'

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6. Find side z, correct to the nearest metre.

triangle

178
 130
 109

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7. Find the value of x correct to 1 decimal place.

right angle triangle

11.4
 8.4
 9.3

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8. Find the size of the angle marked , correct to the nearest minute.

right angle triangle

42°35'
 36°22'
 47°25'

 

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9. Find the area of this triangle correct to the nearest cm2.

Triangle

49 cm2
 65 cm2
 55 cm2

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10. Use the cosine rule to find the value of y, to the nearest whole number.

Triangle

24 543
 17 298
 132

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11. Use the cosine rule to find the angle marked theta, correct to the nearest minute.

Triangle

52°6'
 37°54'
 62°17'

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12. Find the value of h correct to the nearest metre.

Right angle triangle ABD

53
 77
 41

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13. This diagram represents the results of a plane table survey. Calculate the perimeter of the triangular field correct to 3 significant figures.

Triangle XYZ

290 m
 289.511 m
 313 m

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