ICSE question bank

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16 questions

Answer available
Class 10 · Mathematics · Heights and Distances
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.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
If the angle of elevation of the sun is 45°, the length of the shadow of a vertical pole is:
1 markEasyMCQ
Answer available
Class 10 · Mathematics · Heights and Distances
A kite is flying at a height of 60 m above the ground. The string is straight and makes an angle of 60° with the ground. Find the length of the string.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
An aeroplane flying horizontally at a height of 3000 m is observed at an angle of elevation of 60°. After 15 seconds the angle is 30°. Find the speed of the aeroplane in km/h.
4 marksHardApplication based
Answer available
Class 10 · Mathematics · Heights and Distances
From the top of a cliff 80 m high, the angles of depression of two boats in line with the foot of the cliff are 45° and 30°. Find the distance between the boats.
4 marksHardNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
Explain the difference between the angle of elevation and the angle of depression.
2 marksEasyShort answer
Answer available
Class 10 · Mathematics · Heights and Distances
The angle of elevation of the top of a tower from a point 30√3 m from its foot is 30°. Find the height of the tower.
3 marksEasyNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
A boy 1.5 m tall stands 20 m from a tree and finds the angle of elevation of its top to be 30°. Find the height of the tree.
4 marksHardApplication based
Answer available
Class 10 · Mathematics · Heights and Distances
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?
3 marksEasyNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
The angles of elevation of the top of a tower from two points on the same side of it and in line with its foot are 30° and 60°. If the points are 40 m apart, find the height of the tower.
4 marksHardNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
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.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
A tower is 100 m high. Find the angle of elevation of its top from a point 100√3 m from its foot.
4 marksHardNumerical
Answer available
Class 10 · Mathematics · Heights and Distances
As the sun rises higher in the sky, the length of the shadow of a tower:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Heights and Distances
The shadow of a vertical pole is √3 times its height. Find the angle of elevation of the sun.
3 marksMediumApplication based
Answer available
Class 10 · Mathematics · Heights and Distances
From the top of a cliff 100 m high, the angles of depression of two boats on the same side of the cliff are 45° and 30°. Find the distance between the two boats. (Take √3 = 1.732)
4 marksHardApplication based
Answer available
Class 10 · Mathematics · Heights and Distances
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)
4 marksMediumApplication based