the angle of elevation of a cloud from a point P which is h metres above the surface of the water in the lake is
[tex] \alpha [/tex] and the angle of depression of its image in the lake is theta prove that the height of the cloud above the surface of water is
[tex]h \binom{ \tan(x) + \tan( \alpha ) }{ \tan(x) - \tan( \alpha ) } [/tex]
[tex] \alpha [/tex] and the angle of depression of its image in the lake is theta prove that the height of the cloud above the surface of water is
[tex]h \binom{ \tan(x) + \tan( \alpha ) }{ \tan(x) - \tan( \alpha ) } [/tex]
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Hey mate,
Question :-
The angle of elevation of a cloud from a point P which is h metres above the surface of the water in the lake is
and the angle of depression of its image in the lake is theta prove that the height of the cloud above the surface of water is
Answer :-
Let height of cloud from surface of lake be H.
And
= tan θ
By addendo and dividendo, we get
=> H =
Hope it helps...