Class 10 Maths - MP
Some Applications of Trigonometry
The chapter 'Some Applications of Trigonometry' in Class 10 Mathematics extends the basics of trigonometry to real-world scenarios, commonly known as heights and distances. Students learn how to calculate the height of towers, buildings, mountains, or the distance of ships from a lighthouse without actually measuring them physically. This is achieved using right-angled triangles along with trigonometric ratios. For MPBSE board exams, this chapter is very scoring and usually features one long-answer question carrying 4 to 5 marks. Mastery of this chapter requires clear understanding of geometrical figures and accurate diagram drawing.
Start Learning FreeKey Concepts
Line of Sight
The line drawn from the eye of an observer to the point on 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 Models
Real-world problems are converted into right-angled triangles where the unknown height or distance is calculated using trigonometric ratios.
Important Formulas
Board Exam Info
In the Madhya Pradesh (MPBSE) Class 10 Mathematics board exam, this chapter typically carries around 5 to 6 marks. Questions usually include one short-answer question (2-3 marks) and one mandatory long-answer word problem (4-5 marks) involving heights and distances.
Frequently Asked Questions
How do I know whether to use sin, cos, or tan in a word problem?
Choose the trigonometric ratio based on the sides given and the side you need to find. Most height and distance problems use 'tan' because they involve the perpendicular (height) and base (distance).
Is drawing a figure compulsory in MPBSE board exams for this chapter?
Yes, drawing a neat and correctly labeled diagram is crucial. Examiners award step marks for the figure, and it is impossible to solve the problem accurately without one.
What is the difference between the angle of elevation and depression?
Angle of elevation is formed when looking UP at an object, whereas the angle of depression is formed when looking DOWN at an object from a height.
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