Trigonometry Exam! Ultimate Math Quiz

15 Questions | Total Attempts: 155

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Trigonometry Exam! Ultimate Math Quiz

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Questions and Answers
  • 1. 
    You are standing 100 meters from the main entrance of the Sears Tower in Chicago, Illinois. You estimate that the angle of elevation to the top of the building is 77 degrees. A friend is at the top of the building. What is the approximate straight-line distance between you and your friend?
    • A. 

      386 meters

    • B. 

      433 meters

    • C. 

      445 meters

    • D. 

      622 meters

  • 2. 
    A pizzeria has two sizes of pizza. A large pizza has a radius of 8 inches and a small pizza has a radius of 6 inches. What is the angle measure of a slice of a small pizza that has approximately the same area as the 30-degree slice of a large pizza?
    • A. 

      35.9 degrees

    • B. 

      53.3 degrees

    • C. 

      40.0 degrees

    • D. 

      96.0 degrees

  • 3. 
    For which of the following angles is the secant positive and the cotangent negative?
    • A. 

      50 degrees

    • B. 

      230 degrees

    • C. 

      130 degrees

    • D. 

      310 degrees

  • 4. 
    What is the reference angle, in degrees, for the angel O=560 degrees?
    • A. 

      -160

    • B. 

      20

    • C. 

      -20

    • D. 

      200

  • 5. 
    The top of the Space Needle in Seattle, Washington, is a revolving, circular restaurant. The restaurant has a radius of 47.25 feet and makes one complete revolution in about an hour. You have dinner at the window table from 7:00 pm to 8:55 pm. How many feet do you revolve?
    • A. 

      569

    • B. 

      3659

    • C. 

      579

    • D. 

      13443

  • 6. 
    What is in radians?
    • A. 

      Pi

    • B. 

      5pi

    • C. 

      Pi/2

    • D. 

      -pi/2

  • 7. 
    What is (5pi)/4 in degrees?
    • A. 

      225

    • B. 

      210

    • C. 

      240

    • D. 

      255

  • 8. 
    What is the exact value of pi/3?
    • A. 

      3/4

    • B. 

      1/2

    • C. 

      (sqrt3)/4

    • D. 

      (sqrt2)/4

  • 9. 
    If given a right triangle ABC where angle B is 42 degrees, angle C is 90 degrees, and side a is 17 inches. Determine the other angle and sides. 
    • A. 

      A=48 degrees, b=22.88 inches, c=15.31 inches

    • B. 

      A=58 degrees, b=15.31 inches, c=22.88 inches

    • C. 

      A=48 degrees, b=15.31 inches, c=22.88 inches

    • D. 

      A=58 degrees, b=22.88 inches, c=15.31 inches

  • 10. 
    A ladder 12 feet long makes an angle of 67 degrees with the ground as it leans against a store. How far up the side of the store does the ladder reach?
    • A. 

      9.05 feet

    • B. 

      10.05 feet

    • C. 

      11.05 feet

    • D. 

      12.05 feet

  • 11. 
    A slide 2.8 meters long makes an angle of 29 degrees with the ground. How high is the top of the slide above the ground?
    • A. 

      1.36 meters

    • B. 

      2.36 meters

    • C. 

      0.36 meters

    • D. 

      3.36 meters

  • 12. 
    A photographer points a camera at a window in a nearby building forming an angle of 44 degrees with the camera platform. If the camera is 56 meters from the building, how high above the platform is the window, to the nearest hundredth?
    • A. 

      0.97 meters

    • B. 

      1.04 meters

    • C. 

      57.99 meters

    • D. 

      54.08 meters

  • 13. 
    Find the area of a sector with a central angle of 60 degrees and a radius of 9.7 mm. Round to the nearest tenth. Use 3.14 for pi if necessary.
    • A. 

      5.1 mm^2

    • B. 

      2822.7 mm^2

    • C. 

      49.2 mm^2

    • D. 

      98.5 mm^2

  • 14. 
    The point (-3, 3) is  on the terminal side of an angle o. Find cos O.
    • A. 

      -1/(sqrt2)

    • B. 

      Sqrt2

    • C. 

      -sqrt2

    • D. 

      1/(sqrt2)

  • 15. 
    An athlete throws the javelin at an angle of 37 degrees with an initial velocity of 71 feet per second. How far does the javelin go?
    • A. 

      101.43 feet

    • B. 

      151.43 feet

    • C. 

      201.43 feet

    • D. 

      251.43 feet

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