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The total distance between the transmitting and receiving antenna of a
microwave link at 10GHz, is 30 Km. the height of the Tx antenna is
above ground level is 20 m. the maximum acceptable total path loss is
169 dB. Furthermore there is hill located 10 km away from the
transmitter antenna with a height of 80m.

calculate the height of the receiver antenna for the path loss to be
just equal to the maximum acceptable value?

1. Antenna essentially operates in free space with no near field ground
losses because the wavelength is extremely small (3.3cm) compared to 20m
antenna height at the transmitter.

2. The effect of the 80m hill 10Km away is negligible. The arc tan is only
..008 degrees, thus the transmitter hardly "sees" it.

3. The path loss seen by an atenna at 0 feet is then 131.8 dB (Path Loss =
20log(4*pi*d/lambda)), which is much less than the desired 169dB maximum.

Answer: 0 Feet.