Class 10 Maths - KERALA
Some Applications of Trigonometry
The chapter 'Some Applications of Trigonometry' in Class 10 Kerala SCERT Mathematics introduces students to the practical uses of trigonometric ratios, specifically in finding the heights and distances of various objects without actually measuring them. Building upon the basics of trigonometry learned earlier, this chapter focuses on two vital terms: the angle of elevation and the angle of depression. These concepts are heavily applied in real-world scenarios like measuring the height of a tower, a tree, or the distance of a ship from a lighthouse. For Kerala SSLC board exams, this is a high-scoring chapter that consistently features standard 4 to 6-mark multi-step word problems.
Start Learning FreeKey Concepts
Line of Sight
The imaginary line drawn from the eye of an observer to a 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.
Trigonometric Ratios in Word Problems
Using sine, cosine, and especially tangent (tan) ratios to connect known angles and sides to find unknown heights and distances.
Important Formulas
Board Exam Info
In the Kerala SSLC Mathematics board examination, this chapter usually carries around 6 to 8 marks. Students can expect at least one compulsory long-answer question (4 or 6 marks) involving a figure that requires drawing a neat diagram based on a word problem and solving it using trigonometric tables.
Frequently Asked Questions
How do I know whether to use sin, cos, or tan in a problem?
Choose the ratio based on what is given and what you need to find. If you know the adjacent side and want 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, the angle of elevation and the angle of depression are equal because they are alternate interior angles formed by parallel horizontal lines and the transversal line of sight.
Do I need to memorize the trigonometric table values for SSLC exams?
Yes, you must memorize standard values for 0, 30, 45, 60, and 90 degrees (especially sin, cos, and tan values) as they are frequently used in problem-solving.
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