Question

From an aeroplane, vertically above a straight horizontal plane, the angles of depression of two consecutive kilometre stones on the opposite side of the aeroplane are found to be α and β. Show that the height of the aeroplane is $\frac{tan\alpha. tan\beta}{tan\alpha + tan\beta}$.


Class 10 | CBSE | Math | Trigonometry | 4 Marks Question

Answer 1

Hey.....................

 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 = {}  
 PROVED

Answer 2

Hey..

Here's your answer..

HOPE IT HELPS

@Rêyaañ11