This document is a training document for St. Thomas Training College student Veena Gopal on the topics of heights, distances, lines of sight, angles of elevation and depression, and how to solve problems involving these concepts. It provides definitions for angle of elevation and depression, gives an example question asking to calculate the height of a tree using the length of its shadow and the sun's angle of elevation, and shows the step-by-step solution to find the height of 16√3 meters.

1. WELCOME

2. ST.THOMAS TRAINING
COLLEGE
NAME: VEENA GOPAL V S
REG.NO:13 386 009

3. 
HEIGHT AND DISTANCES
USUAL LINE OF SIGHT
ANGLE OF ELEVATION
ANGLE OF DEPRESSION
QUESTION
SOLUTION
CONTENTS

4. HEIGHTS AND DISTANCES

5. USUAL LINE OF SIGHT

6. ANGLE OF ELEVATION
The angle between the usual
line of sight and raised line of
sight is called angle of elevation

7. Usual line

8. ANGLE OF DEPRESSION
The angle between usual line of
sight and lowered line of sight is
called angle of depression

9. USUAL LINE

10. QUESTION
The length of shadow of
a tree is 16m, when the
sun is at an elevation of
60⁰ . What is the height
of tree?

11. 16 m
x
60⁰
A B
C

12. SOLUTION
tan 60˚ = x ∕ 16
√‾3 = x ∕ 16
X=16 √‾3 m
Height of the tree =16 √‾3 m

13. THANK
YOU........