A tv transmission tower antenna is at a height of 20 m. How much range can it cover if the receiving antenna is at a height of 25 m?
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A tv transmission tower antenna is at a height
H(t) = 20 m
receiving antenna is at a height
H(r) = 25 m
And
R = 6.4 × 10^6
Where R is a radius of earth curvature
Distance between transmitter and receiver ( line of sight)
D = √2RH(t) + √2RH(r)
D = √{2×6.4×(10)^6 × 20} + √{2×6.4×(10)^6 ×25 }
D = √{128 × (10)^5 × 20} + √{128 × (10)^5 × 25 }
D = 16000 + 17888.543
D = 33888.543 meter
D = 33888.543 × 1/(10)^3
D = 33.888 KM
Area covered
A = πD^2
A = ( 22/7 ) × ( 33.888 )^2
A = 22/7 × 1148.396
A = 3609.246 square KiloMeters
range area covered
Answer- 3609.246 square KiloMeters
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