if the angle of elevation of a cloud from a point 'h'metres above a lake is a and angle of depression of its reflection in the is b.Prove that the height of cloud is h( tan b + tan a )( tan b - tan a ).pls solve it by drawing a diagram .
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4 Answers
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Now can you see the thing
try to figure and solve it..
If you cant, then ask :)
1waaaaaaaaahhhhhhhhhh......sorry for posting............u shud hav practised urself.........
1
let the width of the lake be x
α and β are the angle
tanα=H/x
x=H/tanα
tanβ=2h+H/x
x=2h+H/tanβ=2h/tanβ+H/tanβ
Htanα=Htanβ+2htanβ
H(1tanα-tanβ)=2htanβ
now solving we get H
then we add +h on both sides and we get the result
H+h=2htanα/tanβ-tanα+h
=h(tanα+tanβ)/(tanα-tanβ)