JEE Math Practice Question

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:

1. A.$${1 \over 4}$$
2. B.$${2 \over 9}$$
3. C.$${4 \over 9}$$
4. D.$${6 \over 7}$$