Mathematics

Problem

Let a vertical tower

AB

have its end

A

on the level ground. Let

C

be the mid-point of

AB

and

P

be a point on the ground such that

AP = 2AB

. If

\angle BPC = \beta

, then

\tan \beta

is equal to a.

\frac{6}{7}

\frac{1}{4}

\frac{2}{9}

\frac{4}{9}