Class 10 Maths - HARYANA
Some Applications of Trigonometry
The chapter 'Some Applications of Trigonometry' in Class 10 Mathematics bridges theoretical trigonometric ratios with real-world measurements. Students learn how to calculate heights of tall structures, towers, and distances of objects without physically measuring them, using visual geometry. This chapter heavily focuses on word problems that require drawing accurate diagrams based on descriptions. In the Haryana Board (BSEH) examinations, this is a high-scoring and critical chapter. It regularly features in long-answer questions where mastering terms like line of sight, angle of elevation, and angle of depression is essential to secure full marks.
Start Learning FreeKey Concepts
Line of Sight
The imaginary line drawn from the eye of an observer to a specific point on the object being viewed.
Angle of Elevation
The angle formed by the line of sight with the horizontal when the object is located above the horizontal level.
Angle of Depression
The angle formed by the line of sight with the horizontal when the object is located below the horizontal level.
Right-Angled Triangle Model
Every problem in this chapter is modeled into a right-angled triangle where trigonometric ratios connect known sides and angles to unknown values.
Choice of Trigonometric Ratios
Selecting the correct trigonometric ratio (sin, cos, or tan) depends entirely on which two sides (perpendicular, base, or hypotenuse) are involved in the problem.
Important Formulas
Board Exam Info
In the Haryana Board (BSEH) Class 10 Mathematics exam, this chapter typically carries around 4 to 6 marks. Questions usually include one 1-mark objective question and one 3 or 4-mark subjective word problem requiring a neat labeled diagram and step-by-step calculation.
Frequently Asked Questions
How do I know whether to use sin, cos, or tan in a word problem?
Identify which sides of the right-angled triangle are given and which one you need to find. Use 'tan' if you are dealing with perpendicular and base, 'sin' for perpendicular and hypotenuse, and 'cos' for base and hypotenuse.
Is drawing a figure mandatory in board exams for this chapter?
Yes, drawing a neat, properly labeled diagram is compulsory in BSEH exams and often carries step marks before you even begin solving the equations.
What is the difference between the angle of elevation and the angle of depression?
Angle of elevation is formed when you look up at an object from the horizontal, whereas the angle of depression is formed when you look down at an object from a height.
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