Chapter 9: Right Triangles And Trigonometry

15 Questions  I  By Ikthomas77
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 Chapter 9: Right Triangles And Trigonometry
Pythagorean Theorem and its converse; Special Right Triangles; Trigonometry

  
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  • 1. 

    Rita drew right triangle GHK on a sheet of notebook paper.  ___ GH  = 3 cm (LL) ___ GH  = 5 cm (Hypotenuse) To the nearest centimeter, what is the perimeter of the triangle? 
    • A. 

      6 cm

    • B. 

      8 cm

    • C. 

      10 cm

    • D. 

      12 cm


  • 2. 
    How far up the side of a house will a 16-foot ladder reach if the base of the ladder is 8 feet from the house? 
    • A. 

      8 times the square root of 3 ft

    • B. 

      8 times the square root of 2 ft

    • C. 

      16 times the square root of 3 ft

    • D. 

      16 times the square root of 2 ft


  • 3. 
    One leg of a right triangle is 4 meters and the hypotenuse is 8 meters.  The approximate length of the second leg is _____________.
    • A. 

      4 m

    • B. 

      7 m

    • C. 

      9 m

    • D. 

      12 m


  • 4. 
    Which of the following could be the lengths of the sides of a patio in the shape of a right triangle? 
    • A. 

      1, 2, 3

    • B. 

      5, 12, 18

    • C. 

      6, 12, 15

    • D. 

      7, 24, 25


  • 5. 
    If the side lengths of a triangle are 7, 6, and 9, the triangle is _____. 
    • A. 

      Obtuse

    • B. 

      Right

    • C. 

      Acute

    • D. 

      Cannot be formed


  • 6. 
    In a 45°-45°-90° triangle, the ratio of the length of the hypotenuse to the length of a side is _____. 
    • A. 

      1:1

    • B. 

      Square root of 2:1

    • C. 

      Square roof of 3:1

    • D. 

      2:1


  • 7. 
     In a 30°-60°-90° triangle, the ratio of the length of the hypotenuse to the length of the shorter side is _____. 
    • A. 

      Square root of 3:1

    • B. 

      2:square root of 3

    • C. 

      2:1

    • D. 

      Square root of 2:1


  • 8. 
    What is the length of the diagonal of a square with side lengths  7 times the square root of 2?
    • A. 

      7 times the square root of 2

    • B. 

      14

    • C. 

      7

    • D. 

      28


  • 9. 
    In triangle BCA: BC = 8; CA = 15; AB = 17.  Angel C is a 90 degree angle.  Write cos A.
    • A. 

      8/15

    • B. 

      15/8

    • C. 

      15/17

    • D. 

      8/17


  • 10. 
    From the top of a lighthouse 210 feet high, the angle of depression of a boat is 27°. Find the distance from the boat to the foot of the lighthouse. The lighthouse was built at sea level. 
    • A. 

      107 ft

    • B. 

      207 ft

    • C. 

      187 ft

    • D. 

      210 ft


  • 11. 
    In triangle ABC, angle C is a right angle, BC = 3, and AC = 4. Find AB.
    • A. 

      1

    • B. 

      5

    • C. 

      7

    • D. 

      12


  • 12. 
    What is the definition of "sine"?
    • A. 

      Opposite/Adjacent

    • B. 

      Hypotenuse/Adjacent

    • C. 

      Opposite/Hypotenuse

    • D. 

      Adjacent/Opposite


  • 13. 
    What is the definition of "cosine"?
    • A. 

      Hypotenuse/Adjacent

    • B. 

      Adjacent/Opposite

    • C. 

      Hypotenuse/opposite

    • D. 

      Adjacent/Hypotenuse


  • 14. 
    What is the definition of  "tangent"?
    • A. 

      Adjacent/Hypotenuse

    • B. 

      Hypotenuse/opposite

    • C. 

      Opposite/Adjacent

    • D. 

      Adjacent/Opposite


  • 15. 
    A wheelchair ramp needs to be pitched at 30o.  If the ramp is to access a 25-inch step to a door, what will the length of the ramp be? (Round to the nearest inch.) 
    • A. 

      50 inches

    • B. 

      52 inches

    • C. 

      85 inches

    • D. 

      86 inches


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