Some Applications of Trigonometry MCQ Quiz

30 questions

1. From a point on the ground, the angle of elevation of the top of a 10 m tower is 30°. The distance from the point to the foot is:

   1. 10 tan 30°
   2. 10/sin 30°
   3. 10 cos 30°
   4. 10√3

2. A tower is 10 m high and its top is viewed at 30°. The angle is an example of:

   1. angle of depression
   2. right angle
   3. reflex angle
   4. angle of elevation

3. If the height of the tower remains 10 m and the angle of elevation increases from 30° to a larger acute angle, the horizontal distance:

   1. increases
   2. remains unchanged
   3. becomes zero
   4. decreases

4. From a point on the ground, the angle of elevation of the top of a 20 m tower is 45°. The distance from the point to the foot is:

   1. 20
   2. 20 tan 45°
   3. 20/sin 45°
   4. 20 cos 45°

5. A tower is 20 m high and its top is viewed at 45°. The angle is an example of:

   1. angle of depression
   2. right angle
   3. angle of elevation
   4. reflex angle

6. If the height of the tower remains 20 m and the angle of elevation increases from 45° to a larger acute angle, the horizontal distance:

   1. increases
   2. remains unchanged
   3. becomes zero
   4. decreases

7. From a point on the ground, the angle of elevation of the top of a 15 m tower is 60°. The distance from the point to the foot is:

   1. 15 tan 60°
   2. 15/sin 60°
   3. 15/√3
   4. 15 cos 60°

8. A tower is 15 m high and its top is viewed at 60°. The angle is an example of:

   1. angle of elevation
   2. angle of depression
   3. right angle
   4. reflex angle

9. If the height of the tower remains 15 m and the angle of elevation increases from 60° to a larger acute angle, the horizontal distance:

   1. increases
   2. remains unchanged
   3. becomes zero
   4. decreases

10. From a point on the ground, the angle of elevation of the top of a 12 m tower is 30°. The distance from the point to the foot is:

    1. 12 tan 30°
    2. 12√3
    3. 12/sin 30°
    4. 12 cos 30°

11. A tower is 12 m high and its top is viewed at 30°. The angle is an example of:

    1. angle of depression
    2. right angle
    3. reflex angle
    4. angle of elevation

12. If the height of the tower remains 12 m and the angle of elevation increases from 30° to a larger acute angle, the horizontal distance:

    1. increases
    2. remains unchanged
    3. decreases
    4. becomes zero

13. From a point on the ground, the angle of elevation of the top of a 18 m tower is 45°. The distance from the point to the foot is:

    1. 18 tan 45°
    2. 18/sin 45°
    3. 18
    4. 18 cos 45°

14. A tower is 18 m high and its top is viewed at 45°. The angle is an example of:

    1. angle of elevation
    2. angle of depression
    3. right angle
    4. reflex angle

15. If the height of the tower remains 18 m and the angle of elevation increases from 45° to a larger acute angle, the horizontal distance:

    1. increases
    2. remains unchanged
    3. becomes zero
    4. decreases

16. From a point on the ground, the angle of elevation of the top of a 25 m tower is 60°. The distance from the point to the foot is:

    1. 25 tan 60°
    2. 25/√3
    3. 25/sin 60°
    4. 25 cos 60°

17. A tower is 25 m high and its top is viewed at 60°. The angle is an example of:

    1. angle of elevation
    2. angle of depression
    3. right angle
    4. reflex angle

18. If the height of the tower remains 25 m and the angle of elevation increases from 60° to a larger acute angle, the horizontal distance:

    1. increases
    2. remains unchanged
    3. decreases
    4. becomes zero

19. From a point on the ground, the angle of elevation of the top of a 30 m tower is 30°. The distance from the point to the foot is:

    1. 30 tan 30°
    2. 30/sin 30°
    3. 30√3
    4. 30 cos 30°

20. A tower is 30 m high and its top is viewed at 30°. The angle is an example of:

    1. angle of depression
    2. angle of elevation
    3. right angle
    4. reflex angle

21. If the height of the tower remains 30 m and the angle of elevation increases from 30° to a larger acute angle, the horizontal distance:

    1. increases
    2. remains unchanged
    3. decreases
    4. becomes zero

22. From a point on the ground, the angle of elevation of the top of a 16 m tower is 45°. The distance from the point to the foot is:

    1. 16 tan 45°
    2. 16/sin 45°
    3. 16 cos 45°
    4. 16

23. A tower is 16 m high and its top is viewed at 45°. The angle is an example of:

    1. angle of depression
    2. right angle
    3. reflex angle
    4. angle of elevation

24. If the height of the tower remains 16 m and the angle of elevation increases from 45° to a larger acute angle, the horizontal distance:

    1. increases
    2. remains unchanged
    3. becomes zero
    4. decreases

25. From a point on the ground, the angle of elevation of the top of a 14 m tower is 60°. The distance from the point to the foot is:

    1. 14 tan 60°
    2. 14/sin 60°
    3. 14/√3
    4. 14 cos 60°

26. A tower is 14 m high and its top is viewed at 60°. The angle is an example of:

    1. angle of elevation
    2. angle of depression
    3. right angle
    4. reflex angle

27. If the height of the tower remains 14 m and the angle of elevation increases from 60° to a larger acute angle, the horizontal distance:

    1. decreases
    2. increases
    3. remains unchanged
    4. becomes zero

28. From a point on the ground, the angle of elevation of the top of a 24 m tower is 30°. The distance from the point to the foot is:

    1. 24 tan 30°
    2. 24√3
    3. 24/sin 30°
    4. 24 cos 30°

29. A tower is 24 m high and its top is viewed at 30°. The angle is an example of:

    1. angle of elevation
    2. angle of depression
    3. right angle
    4. reflex angle

30. If the height of the tower remains 24 m and the angle of elevation increases from 30° to a larger acute angle, the horizontal distance:

    1. increases
    2. remains unchanged
    3. decreases
    4. becomes zero

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