UPSKILL MATH PLUS
Learn Mathematics through our AI based learning portal with the support of our Academic Experts!
Learn moreMethodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| 1. | Introduction | Get introduced to the concept of heights and distances. |
| 2. | Problems involving angle of elevation | Learn how to find the distance or height of an object using the concept of angle of elevation. |
| 3. | Problems involving angle of depression | Learn how to find the height or distance or angle by the concept of angle of depression. |
| 4. | Problems involving angle of elevation and depression | Learn how to apply the angle of elevation and depression in real life based problems. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Multiple choice question I | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 2. | Multiple choice question II | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 3. | Multiple choice question III | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 4. | Multiple choice question IV | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 5. | Multiple choice question V | Other | medium | 1 m. | Select the correct answer for the given questions. |
| 6. | Multiple choice question VI | Other | medium | 1 m. | Select the correct answer for the given questions. |
| 7. | Two mark example problem I | Other | medium | 4 m. | Try to answer the given questions. |
| 8. | Two mark example problem II | Other | medium | 2 m. | Try to answer the given questions. |
| 9. | Two mark example problem III | Other | medium | 2 m. | Try to answer the given questions. |
| 10. | Two mark example problem IV | Other | medium | 2 m. | Try to answer the given questions. |
| 11. | Two mark exercise problem I | Other | medium | 2 m. | Try to answer the given questions. |
| 12. | Two mark exercise problem II | Other | medium | 2 m. | Try to answer the given questions. |
| 13. | Two mark exercise problem III | Other | medium | 2 m. | Try to answer the given questions. |
| 14. | Five mark example problem I | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation. |
| 15. | Five mark example problem II | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation. |
| 16. | Five mark example problem III | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation. |
| 17. | Five mark example problem IV | Other | hard | 5 m. | Try to answer the given questions. |
| 18. | Five mark example problem V | Other | hard | 5 m. | Try to answer the given questions. |
| 19. | Five mark example problem VI | Other | hard | 5 m. | Try to answer the given questions. |
| 20. | Five mark example problem VII | Other | hard | 5 m. | Try to answer the given questions using the concept of angle of depression. |
| 21. | Five mark example problem VIII | Other | hard | 5 m. | Try to answer the given questions using the concept of angle of depression. |
| 22. | Five mark example problem IX | Other | hard | 5 m. | Try to answer the given questions using the concept of angle of depression. |
| 23. | Five mark example problem X | Other | hard | 5 m. | Try to answer the given questions by applying the concept of angle of elevation and angle of depression. |
| 24. | Five mark example problem XI | Other | hard | 0 m. | Try to answer the given questions by applying the concept of angle of elevation and angle of depression. |
| 25. | Five mark exercise problem I | Other | hard | 15 m. | Try to answer the given questions by applying the concept of angle of elevation. |
| 26. | Five mark exercise problem II | Other | hard | 5 m. | Try to answer the given questions by applying the concept of angle of elevation. |
| 27. | Five mark exercise problem III | Other | hard | 5 m. | Try to answer the given questions by applying the concept of angle of elevation. |
| 28. | Five mark exercise problem IV | Other | hard | 5 m. | Try to answer the given questions by applying the concept of angle of depression. |
| 29. | Five mark exercise problem V | Other | hard | 5 m. | Try to answer the given questions by applying the concept of angle of depression. |
| 30. | Five mark exercise problem VI | Other | hard | 5 m. | Try to answer the given questions by applying the concept of angle of depression. |
| 31. | Five mark exercise problem VII | Other | hard | 5 m. | Try to answer the given questions. |
| 32. | Five mark exercise problem VIII | Other | hard | 5 m. | Try to answer the given questions. |
| 33. | Five mark exercise problem IX | Other | hard | 5 m. | Try to answer the given questions. |
| 34. | Five mark exercise problem X | Other | hard | 5 m. | Try to answer the given questions. |
| 35. | Five mark exercise problem XI | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation. |
| 36. | Five mark exercise problem XII | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation. |
| 37. | Five mark exercise problem XIII | Other | hard | 0 m. | Try to prove the given statement. |
| 38. | Five mark exercise problem XIV | Other | hard | 0 m. | Try to prove the given statement. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Find the length of the ladder | Other | easy | 2 m. | Try to find the length of the ladder. |
| 2. | Determine the angle of elevation | Other | easy | 2 m. | Check your understanding skills in the concept of angle of elevation. |
| 3. | Find the distance of the ball from the line directly beneath the balloon | Other | easy | 2 m. | Try to determine the distance of the ball from the line directly beneath the balloon using the concept of angle of depression. |
| 4. | Determine the angle of depression | Other | easy | 2 m. | Check your understanding skills in the concept of angle of depression. |
| 5. | Find the height of the tower | Other | medium | 2 m. | Practice a problem to find the height of the tower. |
| 6. | Determine the actual height of the tree | Other | medium | 5 m. | Try to find the actual height of the tree. |
| 7. | Find the width of the river | Other | medium | 5 m. | Check your understanding skills in the concept of angle of depression. |
| 8. | Find the height of the flag post | Other | medium | 5 m. | Check your understanding skills in the concept of angle of depression. |
| 9. | Which lizard will catch its prey? | Other | medium | 5 m. | Try to determine which lizard will catch its prey using the concept of angle of elevation. |
| 10. | Determine the distance between the two ships | Other | medium | 5 m. | Check your understanding skills in the concept of angle of depression. |
| 11. | Find the distance travelled by the boy | Other | medium | 5 m. | Practice a problem to determine the distance travelled by the boy by applying the concept of angle of elevation. |
| 12. | Find the height of the pedestal | Other | medium | 5 m. | Try to calculate the height of the pedestal. |
| 13. | Calculate the distance between the two jet planes | Other | medium | 5 m. | Check your understanding skills in the concept of angle of elevation. |
| 14. | Determine the height of the hill | Other | medium | 5 m. | Try to find the height of the hill using the concept of angle of elevation. |
| 15. | Determine the distance that the dog moved | Other | medium | 5 m. | Check your understanding skills in the concept of angle of depression. |
| 16. | Find the height of the building and the distance of the car from the buildings | Other | hard | 5 m. | Practice a problem in the concept of angle of elevation. |
| 17. | Find the height of the mountain | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation and depression. |
| 18. | Calculate the altitude of the eagle | Other | hard | 5 m. | Try to determine the altitude of the eagle flying. |
| 19. | Determine the height of the lighthouse | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation and depression. |
| 20. | Calculate the height of the tower | Other | hard | 5 m. | By applying the concept of angle of elevation and depression, determine the height of the tower. |
| 21. | Determine the altitude of the helicopter | Other | hard | 5 m. | Check your understanding skills in the concept of angle of depression. |
| 22. | Calculate the time taken by the vehicle to reach the building | Other | hard | 5 m. | Try to determine the time by applying the concept of angle of depression. |
| 23. | Find the distance of the kite from the person | Other | hard | 5 m. | Try to determine the distance of the kite by applying the concept of angle of elevation. |
| 24. | Determine the height of the balloon | Other | hard | 5 m. | Try to find the height of the balloon by applying the concept of angle of depression. |
| 25. | Calculate the height of the mountain | Other | hard | 5 m. | Try to find the height of the mountain by applying the concept of angle of elevation and depression. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the height of the tower | Other | easy | 1 m. | Work on the problem to find the height of the tower. |
| 2. | Find the distance between the two boats | Other | hard | 5 m. | Work on the problem to find the distance between the two boats. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the length of the ramp | Other | easy | 2 m. | Check your understanding skills in the concept of angle of elevation. |
| 2. | Find the height of the building | Other | medium | 5 m. | Check your understanding skills in the concept of angle of depression. |
| 3. | Answer the questions | Other | medium | 5 m. | Practice a problem to find the height of the tower using the concept of angle of elevation. |
| 4. | Calculate the speed of the car | Other | hard | 5 m. | Try to determine the speed of the car. |
| 5. | Find the height of the balloon | Other | hard | 5 m. | Check your understanding skills in the concept of angle of elevation. |
| 6. | Calculate the angle of elevation | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 7. | Calculate the height of the tower | Other | easy | 1 m. | Select the suitable choice for the given questions. |
| 8. | Find the length of the ladder | Other | easy | 1 m. | Try to find the length of the ladder. |
| 9. | Determine the angle of depression | Other | easy | 1 m. | Check your understanding skills in the concept of angle of depression. |
| 10. | Angle of depression | Other | medium | 1 m. | Try to answer the given questions. |
| 11. | Problems involving angle of depression | Other | medium | 1 m. | Try to answer the given questions. |
| 12. | Determine the angle of elevation | Other | easy | 1 m. | Check your understanding skills in the concept of angle of elevation. |
| 13. | Find height using angle of elevation | Other | easy | 1 m. | Work on the problem to find the height of the tower. |
| 14. | Calculate the distance of the car from the rock | Other | medium | 1 m. | Try to answer the given questions. |
| 15. | Determine the angle of depression | Other | easy | 1 m. | Check your understanding skills in the concept of angle of depression. |
| 16. | Find the length of the string of the kite | Other | medium | 1 m. | Try to answer the given questions. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:15:00 | easy | 8 m. | |
| 2. | Homework II | 00:20:00 | easy | 9 m. | |
| 3. | Homework III | 00:25:00 | medium | 17 m. | |
| 4. | Homework IV | 00:25:00 | medium | 20 m. | |
| 5. | Homework V | 00:30:00 | medium | 20 m. | |
| 6. | Revision test I | 00:30:00 | medium | 20 m. | |
| 7. | Revision test II | 00:30:00 | medium | 20 m. | |
| 8. | Revision test III | 00:35:00 | hard | 25 m. | |
| 9. | Revision test IV | 00:35:00 | hard | 25 m. | |
| 10. | Revision test V | 00:40:00 | hard | 35 m. | |
| 11. | Revision test VI | 00:40:00 | hard | 35 m. | |
| 12. | Revision test VII | 00:45:00 | hard | 36 m. | |
| 13. | Periodic Assessment - Demo | 00:15:00 | medium | 10 m. | Demo - PAT 2 |
| 14. | Periodic Assessment | 00:15:00 | medium | 6 m. | PAT 2 |
| 15. | Periodic Assessment - Extended version | 00:10:00 | medium | 6 m. | PA 2 |
| 16. | Periodic Assessment - 3 | 00:10:00 | medium | 2 m. | PA3 |
Register for free to see more content