Trigonometry Unit Test Version A

20 Questions | Total Attempts: 106

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Trigonometry Unit Test Version A

Questions and Answers
  • 1. 
    A 14 foot ladder is used to scale a 13 foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall?
    • A. 

      68.2 degrees

    • B. 

      21.57 degrees

    • C. 

      42.92 degrees

  • 2. 
    What are the two special triangles?
    • A. 

      45-45-90

    • B. 

      180-180-360

    • C. 

      30-60-90

    • D. 

      30-40-50

    • E. 

      360

  • 3. 
    Find the length of the opposite side.
    • A. 

      13.19

    • B. 

      16.10

    • C. 

      18.85

  • 4. 
    Find side BC.
    • A. 

      3.92

    • B. 

      4.67

    • C. 

      2.52

  • 5. 
    Find the distance of a boat from a lighthouse if the lighthouse is 100 meters tall, and the angle of depression is 6°.
    • A. 

      765

    • B. 

      901

    • C. 

      952.4

  • 6. 
    Find the central angle of a circle if the arc length is 16 inches and the radius is 4 inches. 
    • A. 

      6

    • B. 

      4

    • C. 

      32

  • 7. 
    What is 120° in radians?
    • A. 

      2/3 π

    • B. 

      3 π

    • C. 

      2 π

  • 8. 
    What is 75° in radians?
    • A. 

      12 π

    • B. 

      12/5 π

    • C. 

      5/12 π

  • 9. 
    What is 40° in radians?
    • A. 

      2/9 π

    • B. 

      9 π

    • C. 

      1/3 π

  • 10. 
    What is 4/3 π in degrees?
    • A. 

      240°

    • B. 

      200°

    • C. 

      300°

  • 11. 
    What is 7/8 π in degrees?
    • A. 

      177°

    • B. 

      157.5 °

    • C. 

      205°

  • 12. 
    What is 2/5 π in degrees?
    • A. 

      72°

    • B. 

      27°

    • C. 

      450°

  • 13. 
    A photographer points his camera to the top of a building forming an angle of elevation of 50°. If he stands 70 meters from the building, how tall is the building?
    • A. 

      45 meters

    • B. 

      53.6 meters

    • C. 

      83.4 meters

  • 14. 
    A man is walking along a straight road. He notices the top of a tower makes an angle of 60o with the ground at the point where he is standing. If the height of the tower is h = 15 m, then what is the distance of the man from the tower?
    • A. 

      8.67 meters

    • B. 

      10.8 meters

    • C. 

      6.9 meters

  • 15. 
    A tree is 200 ft tall. If a man is standing 75 ft away from the tree, what is the angle of elevation to the bird he is looking at?
    • A. 

      98°

    • B. 

      56°

    • C. 

      69.4°

  • 16. 
    How tall is the flagpole?
    • A. 

      33.32

    • B. 

      19.20

    • C. 

      23.05

  • 17. 
    Find the height. 
    • A. 

      30.48

    • B. 

      140.55

    • C. 

      173.21

  • 18. 
    Find x. 
    • A. 

      10.64

    • B. 

      11.9

    • C. 

      9.1

  • 19. 
    Find the measure of angle θ in the figure. Take h = 15 m and d = 30 m.
    • A. 

      30°

    • B. 

      60°

    • C. 

      25.67°

  • 20. 
    A 20-foot ladder is leaning against a wall. The foot of the ladder is 7 feet from the base of the wall. What is the approximate measure of the angle the ladder forms with the ground?
    • A. 

      70.7°

    • B. 

      69.5°

    • C. 

      20.5°

    • D. 

      19.3°

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