A flagstaff, 7.32 m long is fitted at the top of 10 m tall building. The flagstaff is supported by the ropes…

A flagstaff, $7.32$ m long is fitted at the top of $10$ m tall building. The flagstaff is supported by the ropes which are tied to the point $P$ on the ground which is $x$ m away from the base of the building. It is given that $l_1$ is the length of rope from point $P$ to the base of the flagstaff and $l_2$ is the length of rope from point $P$ to the top of flagstaff. Rope $l_1$ makes an angle of $30^{\circ }$ with the horizontal and $\theta$ be the angle which rope $l_2$ makes with the horizontal as shown in the figure. Based on the above information, answer the following questions : (Use $\sqrt{2}=1.4$ and $\sqrt{3}=1.732$)