**Application of Trigonometry**

__Application of Trigonometry__

**trigonometry**is the study of relationships between the sides and angles of a triangle.

- Find height of tall building or tower without actually measuring it
- Find the height at which an object , airplane or balloon is flying
- Find the distance of a vehicle or ship from a tower.
- Used extensively in the field of construction.
- Construct map
- Determine position of a place in a Map using latitude & Longitude
- Astronomers use it to calculate distances from the Earth to the planets and stars.

__Angle of Elevation & Depression__

**The line of sight**is the line drawn from the eye of an observer to the point in the object viewed by the observer.

**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, i.e., the case when we raise our head to look at the object.

**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, i.e., the case when we lower our head to look at the point being viewed.

**Numerical**: The angle of elevation of the top of a tower 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.

**Solution**: let height of tower be x.

Thus height of tower is 10√3 m.

**Also Read :**

MATHS Revision Notes

Chapter:01 Real Numbers System

Chapter:02 Polynomials

Chapter:03 Pair of Linear Equations in Two Variables

Chapter:04 Quadratic Equation

Chapter:05 Arithemetic Progressions

Chapter:06 Triangles

Chapter:07 Coordinate Geometry

Chapter:08 Introduction to Trignometry

Chapter:09 Some Application Of Trignometry

Chapter:10 Circles

Chapter:11 Constructions

Chapter:12 Area Related to Cirles

Chapter:13 Surface Area Volume

Chapter:14 Stastistics

Chapter:15 Probability