Answer :


Let AB be the line joining the distance between two persons. Given C is the midpoint of AB so AC = a/2 and CB = a/2


Height of taller person is double the height of shorter person which is 2h and h respectively forming complementary angles


tan x = ……………..1


And tan 90- x =


cot x= ………………2


Multiplying 1 and 2


tan x cot x = ×


a2 = 8 h2


a = 2√2 h


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