Some applications of trigonometry class 10 notes provided here are an extremely useful resource for the students to quickly learn the related concepts or revise this topic easily. This class 10 chapter 9 note includes the following-
- What is Trigonometry?
- Concept of Heights and Distances
- Example Questions
- Practice Questions
What is Trigonometry?
Trigonometry involves the relationships between the lengths and angles of triangles. It has various applications such as in astronomy, in calculating the distance from Earth to the stars or planet, in navigation, to construct maps, determining the position of an island in relation to the latitudes and longitudes etc.
Heights and Distances
Heights and distances are one of the main applications of trigonometry in real life. Using trigonometry, it is easy to calculate the height of objects and even the distance of objects from a particular point.
Consider this following diagram-
Line of Sight
In the figure above, AC is the line of sight which is nothing but the line from the observer to the top of the object (i.e. minar) whose height is to be calculated.
Angle of Elevation
The angle of elevation is when an observer views the top of the object from the horizontal. In this figure above, the angle of elevation is angle CAB.
Angle of Depression
The angle of depression of a point on the object being viewed from the top of a building is the angle formed by the line of sight with the horizontal. The following diagram shows the angle of depression.
- The angle of elevation of the top of a pole from a point on the ground, which is 30 m away from the foot of the tower, is 30°. Find the height of the tower.
- From the top of a 7 m high statute, the angle of elevation of the top of a cable tower is 60 degrees and the angle of depression of its foot is 45 degrees. Determine the height of the tower.
- Two poles which are of equal heights are standing opposite each other on either side of the road, which is 80 m wide. From a point between them on the road, the angles of elevation of the top of the poles are 60 degrees and 30 degrees, respectively. Calculate the height of the poles and the distances of the point from the poles.
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