Let a vertical tower A B of height 2 h stands on a horizontal ground. Let from a point P on the ground a man can see upto height h of the tower with an angle of elevation 2 α . When from P , he moves a distance d in the direction of A P → , he can see the top B of the tower with an angle of elevation α . If d = 7 h , then tan α is equal to

Step-by-step solution

Given a vertical tower A B of height 2 h stands on a horizontal ground and from a point P on the ground a man can see upto height h of the tower with an angle of elevation 2 α . When from P , he moves a distance d in the direction of A P → , he can see the top B of the tower with an angle of elevation α . If d = 7 h , then tan α is equal to Now on plotting the value in diagram we have, ​​​​​​​ Now in △ P A C tan 2 α = h x . . . . . 1 And in △ H A B we have tan α = 2 h x + 7 h &rAr