JEE Math Practice Question

A tower PQ stands on a horizontal ground with base $$Q$$ on the ground. The point $$R$$ divides the tower in two parts such that $$Q R=15 \mathrm{~m}$$. If from a point $$A$$ on the ground the angle of elevation of $$R$$ is $$60^{\circ}$$ and the part $$P R$$ of the tower subtends an angle of $$15^{\circ}$$ at $$A$$, then the height of the tower is :

1. A.$$5(2 \sqrt{3}+3) \,\mathrm{m}$$
2. B.$$5(\sqrt{3}+3) \,\mathrm{m}$$
3. C.$$10(\sqrt{3}+1) \,\mathrm{m}$$
4. D.$$10(2 \sqrt{3}+1) \,\mathrm{m}$$