dist b/w 2 pillar of ln 16 and 9 is x. If two angle of elevation of their respective top from a point on ground of other are complementary to each other , then find the value of x.

Answer 1

Let 40° be the angle from the ground to the top of pillar of length 9,

Let 50° be the angle from the ground to the top of pillar of length 16.

Let a be the length from the 9 pillar to the point on the ground where the angles are formed

Then Tan 40° = 9/a

And Tan 50° = 16/(x+a)

Solving these two equations for a = 10.726, and x+a = 13.426

Then x = 2.7 distance between pillar 16 and 9.