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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