Class 10 Maths - ODISHA

Some Applications of Trigonometry

The chapter 'Some Applications of Trigonometry' bridges theoretical mathematics and real-world measurement. Specifically tailored for Class 10 students following the BSE Odisha curriculum, it introduces the practical uses of trigonometric ratios to find heights and distances without physical measurement. You will learn key terms like line of sight, angle of elevation, and angle of depression. This chapter is extremely scoring and vital for the Odisha Board examinations, as it consistently features long-answer questions that test your ability to visualize word problems and draw accurate geometric figures.

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Key Concepts

Line of Sight

The imaginary line drawn from the eye of an observer 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 Triangle Modeling

The process of converting real-world scenarios of heights and distances into right-angled triangles to apply trigonometric ratios.

Important Formulas

tan(theta) = Opposite Side / Adjacent Side
sin(theta) = Opposite Side / Hypotenuse
cos(theta) = Adjacent Side / Hypotenuse
Angle of Elevation = Angle of Depression (for parallel horizontal lines)

Board Exam Info

In the BSE Odisha Class 10 Mathematics board exam, this chapter usually carries around 6 to 8 marks. Questions typically include one 2-mark short-answer question and one compulsory 4 or 5-mark long-answer question based on solving a detailed word problem involving heights and distances.

Frequently Asked Questions

How do I know whether to use sin, cos, or tan in a problem?

Choose your ratio based on what side is given and what side you need to find. If you have the adjacent side and need the opposite side, use tan. If the hypotenuse is involved, use sin or cos.

Is the angle of elevation equal to the angle of depression?

Yes, they are equal because they form alternate interior angles between parallel horizontal lines.

Do I need to draw a diagram for questions from this chapter in the board exam?

Yes, drawing a neat, labeled rough diagram is compulsory. Examiners in BSE Odisha award step marks for correct figures.

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