Question

From the roof and foot of a house 20 metre
high it is seen that the angle of depression of
the bottom and the angle of elevation of the
top of a temple on the same horizontal plane
are 30º and 60° respectively. What is the
height of the temple and the distance between
the house and the temple ?​

Answer 1

Step-by-step explanation:

Let the height of the pole be h and the distance between the pole and tower be x.

It can be observed that,

tan60

∘

=

x

50

3

=

x

50

x=

3

50

And,

tan45

∘

=

x

50−h

1=

x

50−h

50−h=x

50−h=

3

50

h=50−

3

50

h=

3

50(

3

−1)

h=21.1m

Therefore, the height of the pole is 21.1m.