Let PQRS be a quadrilateral in a plane, where QR = 1, $$\angle$$PQR = $$\angle$$QRS = 70$$^\circ$$, $$\angle$$PQS = 15$$^\circ$$ and $$\angle$$PRS = 40$$^\circ$$. If $$\angle$$RPS = $$\theta^\circ$$, PQ = $$\alpha$$ and PS = $$\beta$$, then the interval(s) that contain(s) the value of $$4\alpha\beta \sin\theta^\circ$$ is/are

A

$$(0, \sqrt{2})$$

B

$$(1, 2)$$

C

$$(\sqrt{2}, 3)$$

D

$$(2\sqrt{2}, 3\sqrt{2})$$