Heights and Distances - Word Problems

Grade 10 Maths — Heights and Distances - Word Problems: 25 practice questions with instant scoring and explanations.

1. A ladder 25 m long leans against a wall making an angle of 30° with the ground. Find the height at which the ladder touches the wall.
2. A ladder 75 m long leans against a wall making an angle of 45° with the ground. Find the height at which the ladder touches the wall.
3. From the foot of a lighthouse, the angle of elevation of the top of a 60 m tall cliff is 45°. Find the distance between the lighthouse and the cliff.
4. A kite is flying at a height of 15 m. The string attached to it makes an angle of 45° with the ground. Find the length of the string.
5. A kite is flying at a height of 40 m. The string attached to it makes an angle of 45° with the ground. Find the length of the string.
6. A kite is flying at a height of 75 m. The string attached to it makes an angle of 45° with the ground. Find the length of the string.
7. A kite is flying at a height of 10 m. The string attached to it makes an angle of 30° with the ground. Find the length of the string.
8. A ladder 20 m long leans against a wall making an angle of 60° with the ground. Find the height at which the ladder touches the wall.
9. A kite is flying at a height of 25 m. The string attached to it makes an angle of 30° with the ground. Find the length of the string.
10. A ladder 15 m long leans against a wall making an angle of 60° with the ground. Find the height at which the ladder touches the wall.
11. A kite is flying at a height of 60 m. The string attached to it makes an angle of 30° with the ground. Find the length of the string.
12. A ladder 10 m long leans against a wall making an angle of 45° with the ground. Find the height at which the ladder touches the wall.
13. A ladder 60 m long leans against a wall making an angle of 45° with the ground. Find the height at which the ladder touches the wall.
14. From the foot of a lighthouse, the angle of elevation of the top of a 40 m tall cliff is 45°. Find the distance between the lighthouse and the cliff.
15. From the foot of a lighthouse, the angle of elevation of the top of a 75 m tall cliff is 45°. Find the distance between the lighthouse and the cliff.
16. From the foot of a lighthouse, the angle of elevation of the top of a 40 m tall cliff is 30°. Find the distance between the lighthouse and the cliff.
17. A kite is flying at a height of 100 m. The string attached to it makes an angle of 60° with the ground. Find the length of the string.
18. A ladder 75 m long leans against a wall making an angle of 60° with the ground. Find the height at which the ladder touches the wall.
19. A ladder 15 m long leans against a wall making an angle of 30° with the ground. Find the height at which the ladder touches the wall.
20. From the foot of a lighthouse, the angle of elevation of the top of a 20 m tall cliff is 60°. Find the distance between the lighthouse and the cliff.
21. A kite is flying at a height of 20 m. The string attached to it makes an angle of 30° with the ground. Find the length of the string.
22. A ladder 40 m long leans against a wall making an angle of 30° with the ground. Find the height at which the ladder touches the wall.
23. From the foot of a lighthouse, the angle of elevation of the top of a 50 m tall cliff is 60°. Find the distance between the lighthouse and the cliff.
24. A kite is flying at a height of 100 m. The string attached to it makes an angle of 45° with the ground. Find the length of the string.
25. From the foot of a lighthouse, the angle of elevation of the top of a 50 m tall cliff is 30°. Find the distance between the lighthouse and the cliff.