Q. 22 N4.2( 5 Votes )

Two poles are x m A.

B.

C.

D.

Answer :

Let the height of the poles be h and 2h respectively.


Let the angles of elevation of the top of the poles from the midpoint M of the line joining the feet of the poles be α and ß.


Also, given that they are complementary angles, α + ß = 90⁰



From the figure we see that,


and


and


Now,



tan (90 – α) = 2 tan α


cot α = 2 tan α





Now,





The height of the shorter pole is .

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