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Sticky Note
The range of a 100 meter high T.V. transmitter Ariel is about ________?
  1. 10 km
  2. 50 km
  3. 36 km
  4. 20 km
Explanation

To find the range (d) of a TV transmitter antenna, we use the line-of-sight formula:


d ≈ √(2 × h × R)  

Where:  

- d = distance to the horizon in kilometers  

- h = height of the antenna in kilometers  

- R = radius of Earth ≈ 6371 km  


Convert height:  

h = 100 m = 0.1 km  


Now plug in:  

d ≈ √(2 × 0.1 × 6371) ≈ √1274.2 ≈ 35.7 km  


So, the range is approximately 36 km

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