\( A B \) is a vertical pole resting at the end \( A \) on the level ground. \( P \) is a point ....

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\( A B \) is a vertical pole resting at the end \( A \) on the level ground. \( P \) is a point on the level ground such that \( A P=3 A B \) and \( C \) is the midpoint of \( A B \). If \( A C \) and
\( \mathrm{P} \)
\( C B \) subtend angles \( \alpha \) and \( \beta \), respectively, at \( P \), then the value of \( \tan \beta \) is
(1) \( 18 / 19 \)
(2) \( 3 / 19 \)
(3) \( 1 / 6 \)
(4) \( 1 / 3 \)
.
(4)(B)(8) (9)


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