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Trigonometry has wide application in solving problems related to real life situations. One of the best methods for the indirect measurement of length or height involve trigonometric rations.
Trigonometry is extensively used in geography, navigation, Ch 9 Maths Class 10 Examples Reading Pdf astronomy, etc. The knowledge of trigonometry is used to construct maps, determine the position of different islands in relation to the longitudes and latitudes. Horizontal Ray: A ray parallel to the surface of the Earth emerging from the eye of an observer is called a horizontal ray. Line of Sight: The line of sight or ray of vision is the line drawn from the eye of an observer to the point in the object viewed by the observer.
Angle of Elevation: The angle of elevation of the point viewed is 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 of depression of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is below the horizontal level. What is the angle of elevation of the sun? From the top of a 7 m high building, the angle of elevation of the top of a tower is 60 and the angel of depression of its foot is Find the height of the tower.
Two points A and B are on the same side of a tower and in the same straight line with its base. The angles of depression of these points from the top of the tower are 60 and 45 respectively. If the height of the tower is 15 m, then find the distance between these points. Surveyors have used trigonometry for centuries.
During the survey in , the highest mountain in the world was discovered. From a distance of over km, the peak was observed from six different stations. In , this peak was named after Sir George Everest, who had commissioned and first used the giant theodolites. The theodolites are now on display in the Museum of the Survey of India in Dehradun.
The mathematician does not study mathematics because it is useful. He study it because he delights in it and he delights in it because it is beautiful. If you are facing any difficulty to access the contents of Tiwari Academy website, contact us for help.
We will help you as soon as possible. What is the use of Trigonometry in daily life? What is horizontal ray? What do you understand by Line of Sight? What do you mean by Angle of Elevation? What is Angle of Depression? The line of sight is Ch 5 Maths Class 10 Notes Llc the line drawn from the eye of an observer to the point in the object viewed by the observer.
How do you find an angle of elevation? The angle of elevation of the point viewed is the angle formed by the line of sight with the horizontal when the point being viewed is above the horizontal level. What is meant by angle of depression? The angle of depression of a point on the object being viewed is the angle formed by the line of sight with the horizontal when the point is below the horizontal level.
How can we find the height of an object without measuring? The height or length of an object or the distance between two distant objects can be determined with the help of trigonometric ratios. Chapter Circles �.
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