← CBSE Class 10
Some Applications of Trigonometry
Chapter Overview
Trigonometry is applied to find heights and distances of objects using angles of elevation and depression. The angle of elevation is the angle formed by the line of sight with the horizontal when viewing an object above. The angle of depression is formed when viewing an object below. Problems involve towers, buildings, mountains, and other vertical objects. Multiple angles and multiple objects problems use trigonometric ratios to set up equations.
Topics Covered
- Angle of Elevation
- Angle of Depression
- Line of Sight
- Height of Object
- Distance of Object
- Multiple Angles Problems
- Two Object Problems
Key Formulas
tan A = height/distance
Height = distance x tan(angle)
Distance = height/tan(angle)
Real-World Applications
Applications: Surveying, construction, navigation, astronomy, military targeting, architecture.
Study Tips
Tip: Draw a labeled diagram for every problem
Tip: Identify elevation vs depression correctly
Tip: Practice problems with two observations