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Assume that the Earth’s terrain is relatively flat but that there is a mountain that has a height of 800 feet above the average terrain. How far away could a 100-ft cell tower be located from this mountain and yet provide cell phone coverage to a person on top of this mountain? (Solve the problem using MATLAB)

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Answers (1)

Walter Roberson
Walter Roberson on 24 Mar 2018
The question has insufficient information. You would need to know the strength of the cell tower transmission, the strength of the cell phone transmission, the sensitivity of the tower antenna, and the sensitivity of the cell phone antenna, and some information about noise levels, which would depend upon ambient signal levels and depend upon temperature and air pressure. Remember, pressure gets lower and temperature gets lower as you increase in altitude, so you cannot use figures for standard temperature and pressure. The answer is probably going to depend upon the time of day which is going to affect the thermal air pattern, with there being some air bending effects that will depend upon which side of the mountain the tower is relative to the direction of the Sun.
The humidity is going to affect reception, but the humidity is going to depend upon which side of the mountain one is on compared to the direction of the prevailing winds due to rain-shadow effects.
Now if the question had been about a small hill then we would probably ignore much of this, but since the question is specifically about mountain we must calculate these factors.

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on 24 Mar 2018

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on 24 Mar 2018

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