01 · CBSE BOARD EXAM 2024
CBSE 2024 Board Practice Questions
CBSE 2024 · 1 MARK
Q1. A tower stands vertically on the ground. From a point on the ground, 15 m away from the foot of the tower, the angle of elevation of the top of the tower is 60°. Find the height of the tower.
CBSE 2024 · 1 MARK
Q2. A kite is flying at a height of 60 m above the ground. The string attached to the kite is temporarily tied to a point on the ground. The inclination of the string with the ground is 60°. Find the length of the string.
CBSE 2024 · 3 MARKS
Q3. A tree breaks due to storm and the broken part bends so that the top of the tree touches the ground making an angle 30° with it. The distance between the foot of the tree to the point where the top touches the ground is 8 m. Find the height of the tree.
CBSE 2024 · 5 MARKS
Q4. As observed from the top of a 75 m high lighthouse from the sea-level, the angles of depression of two ships are 30° and 45°. If one ship is exactly behind the other on the same side of the lighthouse, find the distance between the two ships.
CBSE 2024 · 5 MARKS
Q5. A 1.2 m tall girl spots a balloon moving with the wind in a horizontal line at a height of 88.2 m from the ground. The angle of elevation of the balloon from the eyes of the girl at any instant is 60°. After some time, the angle of elevation reduces to 30°. Find the distance travelled by the balloon during the interval.
02 · CBSE BOARD EXAM 2023
CBSE 2023 Board Practice Questions
CBSE 2023 · 1 MARK
Q6. If the shadow of a tower is √3 times its height, then the angle of elevation of the sun is:
(A) 30° (B) 45° (C) 60° (D) 90°
CBSE 2023 · 3 MARKS
Q7. A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.
CBSE 2023 · 5 MARKS
Q8. From a point on a bridge across a river, the angles of depression of the banks on opposite sides of the river are 30° and 45°, respectively. If the bridge is at a height of 3 m from the banks, find the width of the river.
03 · CBSE BOARD EXAM 2022
CBSE 2022 Board Practice Questions
CBSE 2022 · 1 MARK
Q9. A pole 6 m high casts a shadow 2√3 m long on the ground, then the sun’s elevation is:
(A) 60° (B) 45° (C) 30° (D) 90°
CBSE 2022 · 3 MARKS
Q10. From the top of a 7 m high building, the angle of elevation of the top of a cable tower is 60° and the angle of depression of its foot is 45°. Determine the height of the tower.
CBSE 2022 · 5 MARKS
Q11. Two poles of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60° and 30°, respectively. Find the height of the poles and the distances of the point from the poles.
04 · CBSE BOARD EXAM 2021
CBSE 2021 Board Practice Questions
CBSE 2021 · 1 MARK
Q12. The ratio of the length of a vertical rod and its shadow is 1 : √3. Find the angle of elevation of the sun.
CBSE 2021 · 3 MARKS
Q13. A statue, 1.6 m tall, stands on top of a pedestal. From a point on the ground, the angle of elevation of the top of the statue is 60° and from the same point the angle of elevation of the top of the pedestal is 45°. Find the height of the pedestal.
CBSE 2021 · 5 MARKS
Q14. A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30°, which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60°. Find the time taken by the car to reach the foot of the tower.
05 · CBSE BOARD EXAM 2020
CBSE 2020 Board Practice Questions
CBSE 2020 · 1 MARK
Q15. If the altitude of the sun is 60°, find the height of a tower which casts a shadow of 30 m long.
CBSE 2020 · 3 MARKS
Q16. The angle of elevation of the top of a tower from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
CBSE 2020 · 5 MARKS
Q17. The angle of elevation of an aeroplane from a point A on the ground is 60°. After a flight of 30 seconds, the angle of elevation changes to 30°. If the aeroplane is flying at a constant height of 3600√3 m, find the speed of the aeroplane in km/h.
06 · SELF-PRACTICE TIPS
Tips for Solving Board PYQs
01
Draw right triangles carefully and convert angle of depression to angle of elevation using alternate interior angles.
02
For double triangle problems, write tan θ = Perpendicular / Base separately for both right triangles and relate their bases.
03
Keep values in terms of √3 = 1.732 unless asked to round to decimals.