Trigonometric ratios in right-angled triangles

Trigonometric ratios in right-angled triangles Quiz

IB MYP Maths Extended: Quiz

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5 questions, one answer each

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  1. 1. In a right-angled triangle the opposite side is 66 and the hypotenuse is 1010. What is sin⁡θ\sin\theta?

    • A. 0.80.8
    • B. 1.671.67
    • C. 0.60.6
    • D. 0.750.75

  2. 2. The side adjacent to a 40∘40^\circ angle is 88 cm. What is the hypotenuse, to 11 decimal place?

    • A. 10.410.4 cm
    • B. 6.16.1 cm
    • C. 5.15.1 cm
    • D. 9.59.5 cm

  3. 3. From a lighthouse the angle of depression of a boat is 20∘20^\circ. What is the angle of elevation of the lighthouse from the boat?

    • A. 70∘70^\circ
    • B. 160∘160^\circ
    • C. 110∘110^\circ
    • D. 20∘20^\circ

  4. 4. tan⁡θ=0.75\tan\theta=0.75. What is θ\theta, to 11 decimal place?

    • A. 53.1∘53.1^\circ
    • B. 36.9∘36.9^\circ
    • C. 48.6∘48.6^\circ
    • D. 0.8∘0.8^\circ

  5. 5. Opposite =7=7 and adjacent =9=9. What is the angle, to 11 decimal place?

    • A. 52.1∘52.1^\circ
    • B. 0.8∘0.8^\circ
    • C. 37.9∘37.9^\circ
    • D. 142.1∘142.1^\circ

Quiz