Heights & Distances: Class 10 Previous Year Questions

Heights & Distances questions asked in CBSE board exams

Repeated questions first. Open the free app to see each question as it appeared in the paper, with its marking scheme.

1. Page 15 33. A TV tower stands vertically on a bank of a canal. From a point on the other bank exactly opposite the tower, the angle of elevation of the top of the tower is 60°. From another point 20 m away from this point on the line joining this point to the …
   Board 20245 markslong answerRepeated: 2023,2024
2. (a) A TV tower stands vertically on the bank of a canal. From a point on the other bank directly opposite the tower, the angle of elevation of the top of the tower is 60°. From another point 20 m away from the point on the line joining this point to the foot o…
   Board 20235 markslong answerRepeated: 2023,2024
3. (A) The shadow of a tower standing on a level ground is found to be 40 m longer when the Sun's altitude is 30° than when it was 60°. Find the height of the tower and the length of original shadow. (use 3 = 1.73) C3ABD/1 /31 Page 11 ·=1.73) 35.14 cm90° 3638 4 (…
   Board 20245 markslong answer
4. JJJJ Page 19 32. (a) From the top of a building 60 m high, the angles of depression of the top and bottom of a tower are observed to be 30 and 60 respectively. Find the height of the tower. Also, find the distance between the building and the tower. (Use 3 = 1…
   Board 20235 markslong answer
5. The string of a kite in air is 50 m long and it makes an angle of 60 with the horizontal. Assuming the string to be straight, the height of the kite from the ground is : (a) 3 50 m (b ) 3 100 m (c) 3 50 m (d) 3 25 m
   Board 20231 markMCQ
6. (a) As observed from the top of a light house 1o0 m above sea level, the angle of depression of a ship, sailing directly towards it, changes from 30° to 45°. Determine the distance travelled by the ship during this time. (Use V3 = 1.73) A30 459 100m Fig. - 3 O…
   Board 20221 markvery short
7. The following TV Tower was built in 1988 and is located in Pitampura, Delhi. It has an observation deck. Observe the picture given below : The TV T ground, the angle of elevation of top of the tower (p . There .) above the ground. The angle of elevation of the…
   Board 20221 markvery short
8. In Figure 2, the angles of elevation of the top of a tower AB of height of the tower respectively and in the same straight line with it, are 60 and 30 , respectively. Prove that h2 = xy. 3 Figure
   Board 20221 markvery short
9. *There is no change in the Question Paper Design and Assessment Pattern for Academic Session 2026-27. Page 6 of 8 Q35. (A) To assist an ambulance, a drone is hovering over an accident site at a constant height on a highway. The angle of depression of the ambul…
   Sample paper 2026-275 markslong answer

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