Question

from the top of cliff 50m hight the angle of elevation of a tower is found to be equal to the angle of depression of the foot of tower. find the hight of tower.
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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

=

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.