Same chapter3 marksDifficulty: Medium
From the top of a tower 50 m high, the angle of depression of a car on the ground is 45°. Find the distance of the car from the foot of the tower.
Heights and Distances
3 marksDifficulty: Medium
The angle of elevation of the top of a building from a point on the ground is 30°. On walking 20 m towards the building the angle becomes 60°. Find the height of the building.
Original Khojo Papers practice question — not from a past board paper.
Answer
10√3 ≈ 17.32 m
No citable source has been recorded for this record. Treat it as practice material, not as fact.
Explanation
If the height is h, the two distances are h√3 and h/√3 and their difference is 20. So h√3 − h/√3 = 20, giving 2h/√3 = 20 and h = 10√3 m.
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From the same topic and chapter, at a similar level.
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Heights and Distances
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The shadow of a vertical pole is √3 times its height. Find the angle of elevation of the sun.
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Same chapter4 marksDifficulty: Medium
The angle of elevation of the top of a tower from a point on level ground 30 m from its foot is 60°. Find the height of the tower correct to two decimal places. (Take √3 = 1.732)
Heights and Distances
Same chapter3 marksDifficulty: Easy
A ladder 10 m long leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach, and how far is its foot from the wall?
Heights and Distances