Heights and
Distances
Height and distance is the important application of Trigonometry, in
which we measure the height and distance of different object as towers,
building etc.
Angle of Elevation
If O be the observer’s eye and OX be the horizontal line through O.
P
t
igh
fs
eo
Lin
O X
Horizontal line
If the object P is at higher level than eye, then ∠ POX is called the
angle of elevation.
Angle of Depression
If the object P is a lower level than O, then ∠ POX is called the angle
of depression.
O Horizontal line
X
θ
Lin
eo
fs
igh
t
Note P
(i) Angle of elevation and depression are always acute angle.
(ii) Angle of elevation of an object from an observer is same as angle of
depression of an observer from the object.
Distances
Height and distance is the important application of Trigonometry, in
which we measure the height and distance of different object as towers,
building etc.
Angle of Elevation
If O be the observer’s eye and OX be the horizontal line through O.
P
t
igh
fs
eo
Lin
O X
Horizontal line
If the object P is at higher level than eye, then ∠ POX is called the
angle of elevation.
Angle of Depression
If the object P is a lower level than O, then ∠ POX is called the angle
of depression.
O Horizontal line
X
θ
Lin
eo
fs
igh
t
Note P
(i) Angle of elevation and depression are always acute angle.
(ii) Angle of elevation of an object from an observer is same as angle of
depression of an observer from the object.
