Class 10 Maths - CBSE
Some Applications of Trigonometry
The chapter 'Some Applications of Trigonometry' in Class 10 CBSE mathematics introduces students to the practical use of trigonometric ratios for finding heights and distances without actually measuring them. Building directly on the basics of trigonometry learned in the previous chapter, this topic revolves around real-world scenarios involving tall buildings, towers, ladders, and mountains. For CBSE board exams, this is a high-scoring chapter that almost always features a mandatory 4-mark or 5-mark long-answer question. Mastering this chapter requires accurate visualization, correct labelling of right-angled triangles, and precise algebraic calculation.
Start Learning FreeKey Concepts
Line of Sight
The imaginary 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 Setup
Every word problem is translated into a right-angled triangle where trigonometric ratios like tan, sin, and cos connect known angles and sides to unknown measurements.
Important Formulas
Board Exam Info
In the CBSE Class 10 Mathematics examination, this chapter typically carries about 6 to 8 marks. Questions usually include one 1-mark or 2-mark short question and one compulsory 4-mark or 5-mark long-answer word problem that requires drawing a neat diagram.
Frequently Asked Questions
How do I know whether to use sin, cos, or tan in a word problem?
Choose your ratio based on what is given and what you need to find. If you have the perpendicular and need the base, use tan. If you have the hypotenuse and need the perpendicular, use sin.
Is drawing a rough diagram compulsory in the board exam?
Yes! Drawing a neat, properly labelled diagram showing the right triangle, angles, and given heights/distances is mandatory and carries step marks.
What is the difference between the angle of elevation and the angle of depression?
Angle of elevation is looked UPWARDS from the horizontal, while the angle of depression is looked DOWNWARDS from the horizontal.
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