ICSE Class 10 Heights and Distances — Mock Test (2027)
Free online mock test for Heights and Distances (ICSE Class 10 Mathematics) — 20 competency-based questions based on the latest CISCE 2027 syllabus, with instant marking. Try the samples below, then take the full test free.
What to expect: This mock test covers key concepts from the Heights and Distances chapter — including application-based and competency-focused questions aligned with how ICSE actually sets the paper.
Tip: Attempt without notes first to identify gaps, then review explanations for any wrong answers. Retake after a few days for best retention.
Sample questions
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1.In the given figure, the positions of the observer and the object are mentioned, the angle of depression is
- a.$30^{\circ}$
- b.$90^{\circ}$
- c.$60^{\circ}$
- d.$45^{\circ}$
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2.From the top of a 7 m high building, the angle of elevation of the top of a tower is 60° and the angle of depression of its foot is 45°. Find the height of the tower. (Use √3 = 1.732)
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3.At a point on level ground, the angle of elevation of a vertical tower is found to be such that its tangent is $\frac{5}{12}$. On walking 192 metres towards the tower; the tangent of the angle is found to be $\frac{3}{4}$. Find the height of the tower.
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4.From a window A, 10 m above ground, the angle of elevation of the top C of a tower is x°, where tan x° = 5/2, and the angle of depression of the foot D of the tower is y°, where tan y° = 1/4. What is the height CD of the tower in metres?
- A.90 m
- B.110 m
- C.120 m
- D.100 m
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5.A man in a boat rowing away from a light house 150 m high, takes 1.5 minutes to change the angle of elevation of the top of the lighthouse from $60^{\circ}$ to $45^{\circ}$. Find the speed of the boat.
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