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JAMB and WAEC Mathematics questions: Trigonometry

52 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· JAMB

    A man walks 5 km north and then 12 km east. How far is he from his starting point?

    Explanation and discussion

  3. Question 3· 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

  4. Question 4· 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

  5. Question 5· Trigonometry· WAEC

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

    Explanation and discussion

  6. Question 6· Trigonometry· WAEC

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

    Explanation and discussion

  8. Question 8· Trigonometry· JAMB

    A man walks 5 km due east and then 12 km due north. How far is he from his starting point?

    Explanation and discussion

  9. Question 9· Trigonometry· JAMB

    In triangle ABC, a = 10 cm, angle A = 30° and angle B = 45°. Find b.

    Explanation and discussion

  10. Question 10· Trigonometry· JAMB

    In triangle ABC, a = 7 cm, b = 5 cm and angle C = 60°. Find c.

    Explanation and discussion

  11. Question 11· Trigonometry· JAMB

    Evaluate sin 30° × cos 60° + cos 30° × sin 60°.

    Explanation and discussion

  12. Question 12· Trigonometry· JAMB

    Solve sin θ = ½ for 0° ≤ θ ≤ 180°.

    Explanation and discussion

  13. Question 13· Trigonometry· JAMB

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

    Explanation and discussion

  14. Question 14· Trigonometry· WAEC

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

    Explanation and discussion

  16. Question 16· Trigonometry· WAEC

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

    Explanation and discussion

  17. Question 17· 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

  18. Question 18· Trigonometry· JAMB

    A ladder 13 m long reaches 12 m up a vertical wall. How far is the foot of the ladder from the wall?

    Explanation and discussion

  19. Question 19· Trigonometry· JAMB

    A ladder 10 m long leans against a wall making an angle of 60° with the ground. How high up the wall does it reach?

    Explanation and discussion

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