Mathematics

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

M6

  1. Find the value of x correct to 1 decimal place.
     
    right angle triangle
     
    • 100.7
    • 207.8
    • 107.2
    answer

     
  2. What is the true bearing of the point A from O?
      compass bearing
     
    • 220°
    • 230°
    • 050°
    answer

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

     
  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
       
    answer

     
  5. Find the size of the angle marked theta, correct to the nearest minute.
     
    triangle
     
    • 54°20'
    • 0°49'
    • 54°33'
    answer

     
  6. Find side z, correct to the nearest metre.
      triangle
     
    • 178
    • 130
    • 109
    answer

     
  7. Find the value of x correct to 1 decimal place.
      right angle triangle
     
    • 11.4
    • 8.4
    • 9.3
    answer

     
  8. Find the size of the angle marked theta, correct to the nearest minute.
      right angle triangle
     
    • 42°35'
    • 36°22'
    • 47°25'
    answer

     
  9. Find the area of this triangle correct to the nearest cm2.
      Triangle
     
    • 49 cm2
    • 65 cm2
    • 55 cm2
    answer

     
  10. Use the cosine rule to find the value of y, to the nearest whole number.
     
    Triangle
     
    • 24 543
    • 17 298
    • 132
    answer

     
  11. Use the cosine rule to find the angle marked theta, correct to the nearest minute.
     
    Triangle
     
    • 52°6'
    • 37°54'
    • 62°17'
    answer

     
  12. Find the value of h correct to the nearest metre.
     
    Right angle triangle ABD
     
    • 53
    • 77
    • 41
    answer

     
  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
    answer

     

Answers

  1. 107.2
     
  2. 230°
     
  3. -0.2653
     

  4. triangle XYZ 2
     
  5. 54°20'
     
  6. 109
     
  7. 11.4
     
  8. 47°25'
     
  9. 65 cm2
     
  10. 132
     
  11. 52°6'
     
  12. 77
     
  13. 290 m
     

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