Class 10 Maths - WEST-BENGAL
Some Applications of Trigonometry
The chapter 'Some Applications of Trigonometry' in Class 10 WBBSE Mathematics bridges theoretical trigonometric ratios with real-world measurement problems. Commonly known as heights and distances, this chapter teaches you how to calculate the height of towers, trees, or mountains and the distance of ships from lighthouses without physically measuring them. For the West Bengal Board exams, this is a crucial scoring area where a long-answer question of 4 or 5 marks is frequently asked, making a clear understanding of diagrams and trigonometric values essential.
Start Learning FreeKey Concepts
Line of Sight
The imaginary straight line drawn from the observer's eye to the point on the object being viewed.
Angle of Elevation
The angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level.
Angle of Depression
The angle formed by the line of sight with the horizontal when the point being viewed is below the horizontal level.
Right-Angled Triangle Model
Every heights and distances problem can be modeled as a right-angled triangle where trigonometric ratios connect the sides and angles.
Important Formulas
Board Exam Info
In the West Bengal Board (WBBSE) Class 10 Mathematics exam, this chapter generally carries about 4 to 8 marks. Students usually face one compulsory long-answer question worth 5 marks that requires drawing a neat geometric figure, stating the assumptions, and solving for the unknown height or distance step-by-step.
Frequently Asked Questions
How do I know whether to use sin, cos, or tan in a problem?
Choose the ratio based on what you need to find and what is already given. If you have the base and need the perpendicular (or vice versa), always use tan(theta).
Is drawing a rough diagram compulsory in WBBSE exams?
Yes, drawing a neat and properly labeled geometric diagram showing the line of sight, angles, and heights is mandatory and carries marks.
What is the difference between the angle of elevation and depression?
Angle of elevation looks UP from the horizontal, while the angle of depression looks DOWN from the horizontal.
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