The height of a transmitting antenna at the top of a tower is 25 m and that of receiving antenna is, 49 m. The maximum distance between them, for…

The height of a transmitting antenna at the top of a tower is $\displaystyle 25$ m and that of receiving antenna is, $\displaystyle 49$ m. The maximum distance between them, for satisfactory communication in LOS (Line-Of-Sight) is $\displaystyle \mathrm{K} \sqrt{5} \times 10^2 \mathrm{~m}$. The value of K is \_\_\_\_. (Assume radius of Earth is $\displaystyle 64 \times 10^{+5} \mathrm{~m}$ ) [Calculate upto nearest integer value]