Some Applications of Trigonometry Full Video || Chapter – 9 || Class 10th (For Hindi Medium)
Heights and Distances
Horizontal Level and Line of Sight
Line of sight and horizontal level
Line of sight is the line drawn from the eye of the observer to the point on the object viewed by the observer.
Horizontal level is the horizontal line through the eye of the observer.
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Angle of elevation
The angle of elevation is relevant for objects above horizontal level.
It is the angle formed by the line of sight with the horizontal level.
Angle of elevation
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Angle of depression
The angle of depression is relevant for objects below horizontal level.
It is the angle formed by the line of sight with the horizontal level.
Angle of depression
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Calculating Heights and Distances
To, calculate heights and distances, we can make use of trigonometric ratios.
Step 1: Draw a line diagram corresponding to the problem.
Step 2: Mark all known heights, distances and angles and denote unknown lengths by variables.
Step 3: Use the values of various trigonometric ratios of the angles to obtain the unknown lengths from the known lengths.
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Be More Curious
Measuring the distances of Celestial bodies with the help of trigonometry
Large distances can be measured by the parallax method. The parallax angle is half the angle between two line of sights when an object is viewed from two different positions. Knowing the parallax angle and the distance between the two positions, large distances can be measured.