A ranger stands at \(T\). Point \(A\) is 20 m down a slope from \(T\), at an angle of depression of \(50^\circ\). A vertical tower \(BF\) of height 8 m has its foot \(F\) level with \(T\), and the angle of elevation of \(B\) from \(T\) is \(12^\circ\). Find
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