Question

The angle of elevation of the top of a building from the foot of a pillar is 30° and angle of
elevation of the foot of a building from top of pillar is 60°. If pillar is 50 m high, then find the height of building.
​

Answer 1

Answer:

hope it will be helpful for u

Answer 2

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.