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Angle of Elevation&Angle of Depression
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When a person looks at somethingabove his/her location, the angle
between the line of sight and thehorizontal is called the angle ofelevation. In this case, the line of
sight is "elevated" above thehorizontal.
Eye
Object
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When a person looks at somethingbelow his or her location, the angle
between the line of sight and thehorizontal is called the angle ofdepression. In this case, the line of
sight is "depressed" below thehorizontal.
Eye
Object
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A stands at the window of a
so that his are 12.6 m above thelevel ground in the vicinity of the
An object is !. m away from theon a line directly beneath the
"ind the angle of depression of theperson's line of sight to the obect on
the
gro!nd.
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ol!tions
θ # angle of depression
12.6tan
58.5θ =
eye
1 2 . 6 m
Ground levelobject
58.5m
L i n e o f s i g h t
( )1 12.6
tan58.5
−θ =
θ ≅ 12.15º
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E#ercise
$alc!late the angle of elevation of the
line of sight of a person whose eye is
1.$ m above the ground, and islooking
at the top of a tree which is 2$. mawa%
on level ground and 1!.6 m high.
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ketch
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ol!tion
16.9tan
27.5θ =
( )1 16.9
tan 27.5
−
θ =
θ ≅ 1.5!º
"ngle of elev#tion of this $erson line of
sight is 1.5!º
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Angle of depression
1m
h
"ind the height of the man in thehot air balloon from the ground.
' (
h '1 tan ( ' 11).2m
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"*+D ,-E -E*-, /" ,-E,/0E
80º
5m
Exercise
%eight of tower
# & tan ()*# )).+m
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-ercise
rom the top of a vertical cli 0) mhigh,
the angle of depression of an obect
that is level with the base of the cli is
01.
%ow far is the obect from the base ofthe cli3
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ol!tion
4et x m be the distance of the obect
from the base of the cli.
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