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Trade Mathematics Course: Angles, right triangles and trigonometry

Temaquiz utan tidsgräns: 15 frågor om Angles, right triangles and trigonometry, med en förklaring efter varje svar. Frågor och svar blandas varje gång.

  • Kurs
  • Kanada
  • 90 frågor
  • Kontrollerad 13 oktober 2026
  • Faktagranskad 13 oktober 2026
Börja med lektionernaTrade Mathematics Course: Lessons: cirka 240 minuters läsning. Alla provfrågor tas upp i lektionerna.

Temaquiz 5: Angles, right triangles and trigonometry

  1. Fråga 1 av 15

    A right triangle has one angle of 35° (plus the 90° angle). What is the third angle?
    Visa svar

    Svar: C. 55°

    The angles in a triangle add to 180°. 180 − 90 − 35 = 55°.

  2. Fråga 2 av 15

    Two pieces of trim meet at a 90° outside corner. At what angle do you cut (mitre) each piece?
    Visa svar

    Svar: A. 45°

    Each piece takes half of the corner angle: 90° ÷ 2 = 45°.

  3. Fråga 3 av 15

    A right triangle has legs of 9 ft and 12 ft. How long is the hypotenuse (the longest side)?
    Visa svar

    Svar: D. 15 ft

    Pythagoras: c² = a² + b² = 81 + 144 = 225. The square root of 225 is 15 ft.

  4. Fråga 4 av 15

    To check that two walls are square, you mark 6 ft along one wall and 8 ft along the other from the corner. What should the diagonal between the marks measure?
    Visa svar

    Svar: A. 10 ft

    This is the 3-4-5 rule doubled: 6² + 8² = 36 + 64 = 100, and √100 = 10 ft. If the diagonal is 10 ft, the corner is 90°.

  5. Fråga 5 av 15

    You lay out a corner using 1.2 m on one side and 1.6 m on the other. For a true 90° corner, what should the diagonal be?
    Visa svar

    Svar: C. 2.0 m

    1.2² + 1.6² = 1.44 + 2.56 = 4.00, and √4 = 2.0 m. This is a 3-4-5 triangle scaled by 0.4.

  6. Fråga 6 av 15

    A rectangular form is 6 m by 4.5 m. When it is square, how long is each diagonal?
    Visa svar

    Svar: C. 7.5 m

    Diagonal = √(6² + 4.5²) = √(36 + 20.25) = √56.25 = 7.5 m. Equal diagonals show the form is square.

  7. Fråga 7 av 15

    A 6 m ladder leans against a wall with its foot 1.5 m from the wall. How high up the wall does it reach, to two decimal places?
    Visa svar

    Svar: A. 5.81 m

    The ladder is the hypotenuse, so subtract: height = √(6² − 1.5²) = √33.75 = 5.81 m.

  8. Fråga 8 av 15

    A rafter has a run of 12 ft and a rise of 5 ft. How long is the rafter line from the wall to the ridge?
    Visa svar

    Svar: A. 13 ft

    Rafter length = √(12² + 5²) = √(144 + 25) = √169 = 13 ft.

  9. Fråga 9 av 15

    A brace is 2.5 m long. One end is 2.0 m along the floor from the corner. How high up the wall is the other end?
    Visa svar

    Svar: D. 1.5 m

    Height = √(2.5² − 2.0²) = √(6.25 − 4) = √2.25 = 1.5 m.

  10. Fråga 10 av 15

    A plumber makes a 45° offset to move a pipe over by 300 mm. How long is the diagonal pipe (the travel), to the nearest millimetre?
    Visa svar

    Svar: C. 424 mm

    For a 45° offset, travel = offset × 1.414 (√2). 300 × 1.414 = 424 mm.

  11. Fråga 11 av 15

    A ramp rises 4 ft over a horizontal run of 12 ft. What angle does it make with the ground, to one decimal place?
    Visa svar

    Svar: B. 18.4°

    Use tangent: tan θ = opposite ÷ adjacent = 4 ÷ 12. θ = tan⁻¹(0.333) = 18.4°.

  12. Fråga 12 av 15

    An electrician bends a 10 in offset in conduit using two 30° bends. How far apart are the bends, measured along the conduit?
    Visa svar

    Svar: B. 20 in

    Distance between bends = offset ÷ sin(angle). sin 30° = 0.5, so 10 ÷ 0.5 = 20 in.

  13. Fråga 13 av 15

    A conveyor is 10 m long and set at 20° to the floor. How high does its top end rise above its bottom end, to two decimal places?
    Visa svar

    Svar: C. 3.42 m

    The conveyor is the hypotenuse and the rise is opposite the angle, so use sine: 10 × sin 20° = 10 × 0.342 = 3.42 m.

  14. Fråga 14 av 15

    You stand 15 m from the base of a tower. The angle up to the top is 40°. How tall is the tower, to two decimal places? (Ignore your eye height.)
    Visa svar

    Svar: A. 12.59 m

    You know the adjacent side and want the opposite side, so use tangent: 15 × tan 40° = 15 × 0.839 = 12.59 m.

  15. Fråga 15 av 15

    A roof has a pitch of 6 in 12. What is the roof angle, to one decimal place?
    Visa svar

    Svar: A. 26.6°

    tan θ = rise ÷ run = 6 ÷ 12 = 0.5. θ = tan⁻¹(0.5) = 26.6°.