Consider, AB and CD are two pillars. AB=16m and CD=9m The distance between two pillars of length 16 metres and 9 metres is x metres. From given data, we havetan θ=
CD
BD
=
9
x
tanα=
AB
BD
=
16
x
Given, the two angles of elevation of their respective tops from the bottom of the other are complementary to each other tanα×tanθ=1 ⇒
16
x
×
9
x
=1 ⇒x=12 The distance between the two pillars of length 16 metres and 9 metres is x metres. If the two angles of elevation of their respective tops from the bottom of the other are complementary to each other, then the value of x(in metre) is = 12