Class 10 Maths - BIHAR
Some Applications of Trigonometry
The chapter 'Some Applications of Trigonometry' in Class 10 Bihar (BSEB) Mathematics introduces students to real-world uses of trigonometric ratios, commonly known as heights and distances. You will learn how to measure the height of tall towers, mountains, or the distance of ships without actually measuring them physically. This is achieved by forming right-angled triangles using the concepts of line of sight, angle of elevation, and angle of depression. This chapter is very important for board exams as it usually features long-answer questions that test your diagram-drawing skills and step-by-step problem-solving abilities.
Start Learning FreeKey Concepts
Line of Sight
The line drawn from the eye of an observer to the point in the object being viewed by the observer.
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
Real-life problems are converted into right-angled triangles where trigonometric ratios (sin, cos, tan) connect known angles and sides to find unknown heights or distances.
Important Formulas
Board Exam Info
In the Bihar School Examination Board (BSEB) Class 10 Mathematics exam, this chapter typically carries around 4 to 6 marks. Questions usually include one short-answer question (2 marks) and one compulsory or choice-based long-answer question (5 marks) requiring a neat diagram and step-by-step calculation.
Frequently Asked Questions
Is it compulsory to draw a diagram for heights and distances questions in BSEB exams?
Yes, drawing a neat and correctly labeled diagram is mandatory. Examiners award step marks for the diagram before checking your calculations.
How do I know whether to use sin, cos, or tan in a problem?
Choose the trigonometric ratio that connects the side you already know (given value) with the side you need to find. Most problems are easily solved using tan(theta) because it relates the perpendicular and the base.
Can the angle of depression ever be greater than the angle of elevation?
No, both angles are measured from the horizontal. For an object and observer looking at each other, the angle of elevation from the ground equals the angle of depression from the top due to alternate interior angles.
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