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In ∆DBC :-
Tanθ =>P/B
Tanθ =>PB/BC =>10/BC (eq1)
Now ,in ∆ABC :-
Tanθ=>P/B
Tan2θ=>AB/BC
=>30/BC =>2Tanθ/1-Tanθ
=>2(10/BC)/1-100/BC^2
=>30/BC =>20 x BC /BC^2-100
=>30BC^2-3000=>20BC^2
=>10BC^2=>3000
=>BC^2=>300
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BC =>10√3=>10 x 1.732 =>17.32
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