HEIGHTS AND DISTANCES AND THE APPLICATIONS OF TRIGONOMETRY

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Measuring heights and distances using trigonometry.

Trigonometry is also used for finding the heights and distances of various objects, without actually measuring them.

To find the distance or height of any object or building etc., you have to calculate the angle of elevation/depression and calculate the distance/height using trigonometric ratios.

Some important expressions to keep in mind while solving the above problem of height and distance given below:
  • Line of sight: It is the line drawn from the eye of an observer to the point in the object viewed by the observer.
  • Angle of elevation: This is the angle formed by the line of sight with the horizontal when it is above the horizontal level, i.e., the case when we raise our head to look at the object.
  • Angle of depression: The angle formed by the line of sight with the horizontal when it is below the horizontal level, i.e., the case when we lower our head to look at the object. 


HEIGHTS AND DISTANCES AND THE APPLICATIONS OF TRIGONOMETRY




HEIGHTS AND DISTANCES AND THE APPLICATIONS OF TRIGONOMETRY



Trigonometric ratios of different angles used for calculating the problem of height and distance is given as folows:



Trigonometric ratios of different angles

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