A certain radar has the following specifications: pulse width \(\tau^{\prime}=1 \mu\) s, antenna beam width \(\Omega=1.5^{\circ}\), and wavelength \(\lambda=3 \mathrm{~cm}\). The radar antenna is \(7.5 \mathrm{~m}\) high. A certain target is simulated by two point targets (scatterers). The first scatterer is \(4 m\) high and has RCS \(\sigma_{1}=20 m^{2}\). The second scatterer is \(12 m\) high and has RCS \(\sigma_{2}\) \(=1 \mathrm{~m}^{2}\). If the target is detected at \(10 \mathrm{~km}\), compute (a) the SCR when both scatterers are observed by the radar; (b) the SCR when only the first scatterer is observed by the radar. Assume a reflection coefficient of -1 , and \(\sigma^{0}=-30 \mathrm{~dB}\).