Question

A tower is build in a river of width 80 meters one see the top of a tower of an elavation 55 degree and 65 degree from either bang of the river find the distance from the water level of river to the top of a tower
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Answer 1

Answer:

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.