Question

the angle of elevation of a cloud from a point h meter above the surface of a lake is @ and angle of depression of its reflection is # then height of the cloud is​

Answer 1

Step-by-step explanation:

Let height of cloud from surface of lake be H.

∴

AB

H−h

=tanθ

And

AB

H+h

=tanθ

⇒

H+h

H−h

=

tanθ

tanθ

By addendo and dividendo, we get

⇒

H−h−H−h

H−h+H+h

=

tanθ−tanθ

tanθ+tanθ

−2h

2H

=

tanθ−tanθ

tanθ+tanθ

⇒

H=h(

tanθ−tanθ

tanθ+tanθ

)