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WAEC Mathematics questions: Trigonometry

26 questions with answers and explanations. Tap an option to check yourself.

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  1. Question 1· Trigonometry· WAEC

    The angle of elevation of the top of a tree from a point 20 m from its base is 45°. Find the height of the tree.

    Explanation and discussion

  2. Question 2· Trigonometry· WAEC

    A ladder 10 m long leans against a vertical wall and makes 60° with the level ground. How high up the wall does it reach?

    Explanation and discussion

  3. Question 3· Trigonometry· WAEC

    A point is 30 m from the foot of a pole 30 m high. Find the angle of elevation of the top of the pole.

    Explanation and discussion

  4. Question 4· Trigonometry· WAEC

    If cos θ = 5/13 and θ is acute, find sin θ.

    Explanation and discussion

  5. Question 5· Trigonometry· WAEC

    In triangle ABC, a = 8 cm, angle A = 30° and angle B = 90°. Find b using the sine rule.

    Explanation and discussion

  7. Question 7· Trigonometry· WAEC

    A ladder 10 m long reaches 8 m up a wall. How far is its foot from the wall?

    Explanation and discussion

  8. Question 8· Trigonometry· WAEC

    The bearing of B from A is 135°. The bearing of A from B is

    Explanation and discussion

  9. Question 9· Trigonometry· WAEC

    From the top of a tower 20 m high, the angle of depression of a car on level ground is 45°. How far is the car from the foot of the tower?

    Explanation and discussion

  11. Question 11· Trigonometry· WAEC

    From the top of a 30 m building, the angle of depression of a car is 30°. How far is the car from the foot of the building?

    Explanation and discussion

  14. Question 14· Trigonometry· WAEC

    Which angle between 180° and 270° has a tangent equal to √3?

    Explanation and discussion

  15. Question 15· Trigonometry· WAEC

    A pole casts a 12 m shadow when the sun's elevation is 45°. The pole's height is

    Explanation and discussion

  16. Question 16· Trigonometry· WAEC

    The bearing of B from A is 065°. Find the bearing of A from B.

    Explanation and discussion

  19. Question 19· Trigonometry· WAEC

    The bearing of B from A is 060°. Find the bearing of A from B.

    Explanation and discussion

  20. Question 20· Trigonometry· WAEC

    In a right-angled triangle, the side opposite angle θ is 5 cm and the hypotenuse is 13 cm. Find sin θ.

    Explanation and discussion

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