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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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