NCERT Class 10 Maths Chapter 9 Online Test – Some Applications of Trigonometry (50 MCQs) | Board Exam 2026

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NCERT Class 10 Mathematics – Chapter 9: Some Applications of Trigonometry

Board Exam 2026 focused online test strictly based on NCERT textbook.

Problems involve heights and distances using trigonometric ratios.
Angle of elevation is formed when an object is above eye level.
Angle of depression is formed when an object is below eye level.
Assume eye level height when required.
Use standard trigonometric values.

Q1. Angle of elevation is the angle between:

Line of sight and horizontal

Vertical and horizontal

Ground and object

Two vertical lines

Definition.

Q2. Angle of depression is measured from:

Vertical line

Horizontal line

Ground

Object

Definition.

Q3. Trigonometry is used to find:

Area only

Angles only

Heights and distances

Perimeter

NCERT application.

Q4. If angle of elevation is 0°, the object is:

Above eye level

Below eye level

Very high

At eye level

sin 0°=0.

Q5. Angle of depression equals:

Angle of elevation

90°

180°

0°

Alternate interior angles.

Q6. Line of sight is:

Vertical line

Line joining eye and object

Horizontal line

Ground line

Definition.

Q7. Eye level means:

Top of object

Ground level

Height of observer’s eyes

Height of building

NCERT definition.

Q8. Angle of elevation is always:

Obtuse

Right

Straight

Acute

Less than 90°.

Q9. Angle of depression is:

Acute

Right

Obtuse

Straight

Less than 90°.

Q10. Height problems form:

Obtuse triangle

Right-angled triangle

Equilateral triangle

Isosceles triangle

Right triangle.

Q11. If tan θ = h/d, h represents:

Base

Hypotenuse

Height

Angle

tan θ = P/B.

Q12. Distance is usually measured along:

Vertical

Hypotenuse

Line of sight

Horizontal

Base.

Q13. Angle of elevation is formed when object is:

Above eye level

Below eye level

At ground

At eye level

Definition.

Q14. Angle of depression is formed when object is:

Above eye level

Below eye level

At eye level

At horizon

Definition.

Q15. Height of tower is calculated using:

cos θ

sec θ

tan θ

cosec θ

tan = height/base.

Q16. Horizontal distance is represented by:

Perpendicular

Hypotenuse

Angle

Base

Definition.

Q17. Problems assume ground to be:

Horizontal

Sloping

Vertical

Uneven

NCERT assumption.

Q18. Eye level is measured from:

Head

Ground

Tower

Object

Definition.

Q19. If angle increases, height:

Decreases

Remains same

Increases

Becomes zero

tan θ increases.

Q20. Height problems use:

Statistics

Mensuration

Algebra only

Trigonometry

NCERT chapter.

Q21. Angle of depression is equal to:

Angle of elevation

90°

0°

180°

Alternate interior angles.

Q22. Height is perpendicular to:

Hypotenuse

Ground

Line of sight

Angle

Definition.

Q23. Distance is parallel to:

Vertical

Line of sight

Ground

Perpendicular

Horizontal.

Q24. Height and distance problems are:

Abstract

Theoretical

Imaginary

Practical applications

Applications.

Q25. Trigonometric ratios are applied to:

Right-angled triangles

Obtuse triangles

Any triangle

Circle

NCERT rule.

Q26. If tan θ is known, we find:

Area

Height or distance

Angle only

Perimeter

Application.

Q27. Height of observer is sometimes added because:

To confuse

Always ignored

Eye level is above ground

Object is underground

NCERT problems.

Q28. Angle between line of sight and horizontal is:

Right angle

Obtuse

Straight

Angle of elevation/depression

Definition.

Q29. Height is measured along:

Vertical

Horizontal

Slant

Curve

Definition.

Q30. Distance is measured along:

Vertical

Horizontal

Slant

Perpendicular

Definition.

Q31. If angle is 45°, tan θ equals:

√3

1/√3

Standard value.

Q32. Greater the angle of elevation, the:

Smaller height

Same height

Zero height

Greater height

tan θ increases.

Q33. Height and distance problems are solved using:

Trigonometric ratios

Statistics

Mensuration

Algebra

NCERT chapter.

Q34. Angle of depression is always measured from:

Vertical

Horizontal

Ground

Object

Definition.

Q35. Height of a pole is perpendicular to:

Object

Line of sight

Ground

Angle

Definition.

Q36. Distance between object and observer is:

Height

Hypotenuse

Angle

Horizontal distance

Definition.

Q37. Angle of elevation is greater when object is:

Closer

Farther

Same distance

Underground

Geometry.

Q38. Eye level is considered constant for:

Object

Observer

Tower

Tree

NCERT assumption.

Q39. If distance is known, height is found using:

cos θ

sec θ

tan θ

cosec θ

tan θ = h/b.

Q40. Height problems form triangle with:

Two right angles

No angle

Obtuse angle

One right angle

Right triangle.

Q41. Distance is always:

Horizontal

Vertical

Slant

Curved

Definition.

Q42. Height problems use which angle?

Obtuse

Acute

Right

Straight

Acute angle.

Q43. Angle of elevation is taken at:

Object

Top of tower

Observer

Ground

Definition.

Q44. Angle of depression is taken at:

Object

Ground

Tower base

Observer

Definition.

Q45. Trigonometry simplifies height problems by:

Using ratios

Drawing graphs

Using calculus

Statistics

Application.

Q46. Height of building is usually measured from:

Top

Ground

Eye level

Roof

Definition.

Q47. If angle of elevation is 90°, the object is:

Far

At eye level

Vertically above

Below

tan 90° undefined.

Q48. Angle of depression uses which ratio mostly?

sin

cos

sec

tan

tan θ.

Q49. Height and distance problems are related to:

Real life situations

Imaginary problems

Pure algebra

Statistics

NCERT aim.

Q50. This chapter applies trigonometry to:

Formulas only

Practical situations

Graphs only

Circles

NCERT scope.

Q1 Angle of elevation definition. Q2 Angle of depression definition. Q3 Use of trigonometry. Q4 Object at eye level. Q5 Equality of angles. Q6 Line of sight. Q7 Meaning of eye level. Q8 Nature of angle of elevation. Q9 Nature of angle of depression. Q10 Type of triangle formed. Q11 Meaning of height in tan θ. Q12 Horizontal distance. Q13 Object above eye level. Q14 Object below eye level. Q15 Finding height using tan θ. Q16 Meaning of base. Q17 Ground assumption. Q18 Measurement of eye level. Q19 Effect of angle on height. Q20 Use of trigonometry. Q21 Relation between angles. Q22 Height perpendicular to ground. Q23 Distance parallel to ground. Q24 Practical application. Q25 Right-angled triangle use. Q26 Finding height or distance. Q27 Reason for adding eye height. Q28 Meaning of elevation/depression. Q29 Vertical measurement. Q30 Horizontal measurement. Q31 Value of tan 45°. Q32 Relation of angle and height. Q33 Use of ratios. Q34 Measurement reference. Q35 Height relative to ground. Q36 Horizontal distance meaning. Q37 Effect of distance on angle. Q38 Constancy of eye level. Q39 Using tan θ. Q40 Right triangle formation. Q41 Nature of distance. Q42 Type of angle used. Q43 Position of observer. Q44 Position of observer. Q45 Use of ratios. Q46 Reference point of height. Q47 Object vertically above. Q48 Use of tan in depression. Q49 Real life application. Q50 Practical use of chapter.

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NCERT Class 10 Maths Chapter 9 Online Test – Some Applications of Trigonometry (50 MCQs) | Board Exam 2026

NCERT Class 10 Mathematics – Chapter 9: Some Applications of Trigonometry

Q1. Angle of elevation is the angle between:

Q2. Angle of depression is measured from:

Q3. Trigonometry is used to find:

Q4. If angle of elevation is 0°, the object is:

Q5. Angle of depression equals:

Q6. Line of sight is:

Q7. Eye level means:

Q8. Angle of elevation is always:

Q9. Angle of depression is:

Q10. Height problems form:

Q11. If tan θ = h/d, h represents:

Q12. Distance is usually measured along:

Q13. Angle of elevation is formed when object is:

Q14. Angle of depression is formed when object is:

Q15. Height of tower is calculated using:

Q16. Horizontal distance is represented by:

Q17. Problems assume ground to be:

Q18. Eye level is measured from:

Q19. If angle increases, height:

Q20. Height problems use:

Q21. Angle of depression is equal to:

Q22. Height is perpendicular to:

Q23. Distance is parallel to:

Q24. Height and distance problems are:

Q25. Trigonometric ratios are applied to:

Q26. If tan θ is known, we find:

Q27. Height of observer is sometimes added because:

Q28. Angle between line of sight and horizontal is:

Q29. Height is measured along:

Q30. Distance is measured along:

Q31. If angle is 45°, tan θ equals:

Q32. Greater the angle of elevation, the:

Q33. Height and distance problems are solved using:

Q34. Angle of depression is always measured from:

Q35. Height of a pole is perpendicular to:

Q36. Distance between object and observer is:

Q37. Angle of elevation is greater when object is:

Q38. Eye level is considered constant for:

Q39. If distance is known, height is found using:

Q40. Height problems form triangle with:

Q41. Distance is always:

Q42. Height problems use which angle?

Q43. Angle of elevation is taken at:

Q44. Angle of depression is taken at:

Q45. Trigonometry simplifies height problems by:

Q46. Height of building is usually measured from:

Q47. If angle of elevation is 90°, the object is:

Q48. Angle of depression uses which ratio mostly?

Q49. Height and distance problems are related to:

Q50. This chapter applies trigonometry to:

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