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. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the length of the ramp | 1st type - receptive | easy | 3 m. | Check your understanding skills in the concept of angle of elevation. |
| 2. | Find the length of the ladder | 1st type - receptive | easy | 3 m. | Try to find the length of the ladder. |
| 3. | Determine the angle of elevation | 1st type - receptive | easy | 3 m. | Check your understanding skills in the concept of angle of elevation. |
| 4. | Find the distance of the ball from the line directly beneath the balloon | 1st type - receptive | easy | 3 m. | Try to determine the distance of the ball from the line directly beneath the balloon using the concept of angle of depression. |
| 5. | Determine the angle of depression | 1st type - receptive | easy | 3 m. | Check your understanding skills in the concept of angle of depression. |
| 6. | Find the height of the tower | 2nd type - interpretation | medium | 4 m. | Practice a problem to find the height of the tower. |
| 7. | Determine the actual height of the tree | 2nd type - interpretation | medium | 4 m. | Try to find the actual height of the tree. |
| 8. | Find the width of the river | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of angle of depression. |
| 9. | Find the height of the flag post | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of angle of depression. |
| 10. | Which lizard will catch its prey? | 2nd type - interpretation | medium | 4 m. | Try to determine which lizard will catch its prey using the concept of angle of elevation. |
| 11. | Determine the distance between the two ships | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of angle of depression. |
| 12. | Find the distance travelled by the boy | 2nd type - interpretation | medium | 4 m. | Practice a problem to determine the distance travelled by the boy by applying the concept of angle of elevation. |
| 13. | Find the height of the pedestal | 2nd type - interpretation | medium | 4 m. | Try to calculate the height of the pedestal. |
| 14. | Calculate the distance between the two jet planes | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of angle of elevation. |
| 15. | Determine the height of the hill | 2nd type - interpretation | medium | 4 m. | Try to find the height of the hill using the concept of angle of elevation. |
| 16. | Determine the distance that the dog moved | 2nd type - interpretation | medium | 4 m. | Check your understanding skills in the concept of angle of depression. |
| 17. | Find the height of the building and the distance of the car from the buildings | 3rd type - analysis | hard | 6 m. | Practice a problem in the concept of angle of elevation. |
| 18. | Find the height of the mountain | 3rd type - analysis | hard | 4 m. | Check your understanding skills in the concept of angle of elevation and depression. |
| 19. | Calculate the altitude of the eagle | 3rd type - analysis | hard | 5 m. | Try to determine the altitude of the eagle flying. |
| 20. | Choose the correct choice for the given statements | 3rd type - analysis | hard | 5 m. | Select the best choice for the given pair of statements. |
| 21. | Case study:Applications of trigonometry | 3rd type - analysis | hard | 5 m. | Practice a problem by understanding the figure and answer the given questions. |
| 22. | Determine the altitude of the helicopter | 3rd type - analysis | hard | 5 m. | Check your understanding skills in the concept of angle of depression. |
| 23. | Calculate the time taken by the vehicle to reach the building | 3rd type - analysis | hard | 5 m. | Try to determine the time by applying the concept of angle of depression. |
| 24. | Find the distance of the kite from the person | 3rd type - analysis | hard | 5 m. | Try to determine the distance of the kite by applying the concept of angle of elevation. |
| 25. | Determine the height of the balloon | 3rd type - analysis | hard | 5 m. | Try to find the height of the balloon by applying the concept of angle of depression. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Determine the angle of elevation | Other | easy | 3 m. | Practice a problem to determine the angle of elevation. |
| 2. | Find the height of the tower | Other | easy | 3 m. | Try to calculate the height of the tower. |
| 3. | Check whether the angle of elevation is changed | Other | easy | 3 m. | Check whether the given statement is correct or not. |
| 4. | Find the height of the building | Other | medium | 4 m. | Check your understanding skills in the concept of angle of depression. |
| 5. | Determine the distance between the two objects | Other | medium | 4 m. | Practice a problem to find the distance between the two objects by applying the concept of angle of depression. |
| 6. | Answer the questions | Other | medium | 4 m. | Practice a problem to find the height of the tower using the concept of angle of elevation. |
| 7. | Find the height of the balloon | Other | medium | 4 m. | Check your understanding skills in the concept of angle of elevation. |
| 8. | Calculate the speed of the car | Other | hard | 5 m. | Try to determine the speed of the car. |
| 9. | Prove the following | Other | hard | 5 m. | Try to prove the given statement. |
| 10. | Find the height of the cloud | Other | hard | 5 m. | Practice a problem to check your understanding skills in the concept of both angle of elevation and depression. |
| 11. | Determine the height of the centre of the balloon | Other | hard | 5 m. | Try to find the height of the balloon from the centre. |
| 12. | Determine the angle of elevation | Other | easy | 1 m. | Check your understanding skills in the concept of angle of elevation. |
| 13. | Determine the angle of depression | Other | easy | 1 m. | Check your understanding skills in the concept of angle of depression. |
| 14. | Find the height of the chimney | Other | medium | 1 m. | To find height of the chimney. |
| 15. | Find the height of the tower | Other | medium | 2 m. | To find the required height. |
Tests
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Training test I | 00:15:00 | easy | 12 m. | |
| 2. | Training test II | 00:20:00 | medium | 15 m. | |
| 3. | Training test III | 00:20:00 | hard | 16 m. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| 1. | Homework I | 00:20:00 | medium | 14 m. | |
| 2. | Homework II | 00:20:00 | medium | 15 m. | |
| 3. | Homework III | 00:25:00 | hard | 18 m. | |
| 4. | Progress test I | 00:25:00 | hard | 19 m. | |
| 5. | Progress test II | 00:25:00 | hard | 20 m. | |
| 6. | Progress test III | 00:25:00 | hard | 20 m. | |
| 7. | Periodic Assessment - Demo | 00:20:00 | medium | 8 m. | PA 3 |
Register for free to see more content