A certain radar has losses of \(6 d B\) and a receiver noise figure of \(8 d B\). It has the requirement to detect targets within a search sector that is 360 degrees in azimuth and from 5 to 65 degrees in elevation. It must cover the search sector in 2 seconds. The RCS of the targets of interest is \(5 \mathrm{dBsm}\) and the radar requires \(20 \mathrm{~dB}\) of signal-to-noise ratio to declare a detection. The required detection range of the radar is \(75 \mathrm{~km}\). What is the average power aperture that the radar must have to satisfy the above search requirements?