Question

A plane is at a vertical height of h. The angles of depression of two tanks on the horizontal
ground are found to have masure a and B (a > B). prove that the distance between the
ok is hi(tana, tanſ)
tana. . tanß​

Answer 1

Answer:

Step-by-step explanation:

So from fig 

we get tan α = h/x ⇒ x = h/tan α   ......   (i)

and tan β = h/(1-x)

⇒ 1 - h/tanβ = x  ............. (ii)

using i and ii we get

 ⇒ h/tan α = 1 - h/tanβ

⇒  h{(tan α + tanβ)/tanαtanβ} = 1

⇒ h = {tanαtanβ/tan α + tanβ)

 PROVED

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