A vertical pole fixed to the horizontal ground is divided in the ratio 3 : 7 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a point on the ground 18 m away from the base of the pole, then the height of the pole (in meters) is :

Step-by-step solution

Given that A vertical pole fixed to the horizontal ground is divided in the ratio 3 :   7 by a mark on it with lower part shorter than the upper part. If the two parts subtend equal angles at a point on the ground 18   m away from the base of the pole. tan θ = x 6 tan 2 θ = 10 x 18 = 5 x 9 We know that tan   2 θ   =   2   tan   θ 1   -   tan 2 θ 5 x 9 = x 3 1 - x 2 36 ⇒    5 = 3 1 - x 2 36 1 - x 2 36 = 3 5 x 2 36 = 2 5 ⇒ &#1