The angle of elevation of the top of tower from the foot of building is 600 and angle of elevation of top of the building from the foot of the tower is 300 . If building is 100m high, find the height of tower?
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Class 10
>>Maths
>>Some Applications of Trigonometry
>>Heights and Distances
>>The angle of elevation of the top of the
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The angle of elevation of the top of the building from the foot of the tower is 30 and the angle of the top of the tower from the foot of the building is 60. If the tower is 50 m high, find the height of the building.
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Given height of tower CD=50m
Let the height of the building, AB=h
In right angled △BDC,
⇒ tan60
o
=
BD
CD
⇒
3
=
BD
50
⇒ BD=
3
50
m
In right angled △ABD,
⇒ tan30
o
=
BD
AB
⇒
3
1
=
3
50
h
∴
3
1
=
50
3
h
∴ h=
3
50
=16.66m
∴ The height of the building is 16.66m
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