The transmitting antenna placed at the top of a tower has a height of 45 m from the ground. The distance between receiving and transmitting antennas is 40 km and the radius of earth is 6400 km . The minimum height (in m at which the receiving antenna is to be placed for satisfactory communication in L O S mode, is

Question

The transmitting antenna placed at the top of a tower has a height of 45 m from the ground. The distance between receiving and transmitting antennas is 40 km and the radius of earth is 6400 km . The minimum height (in m at which the receiving antenna is to be placed for satisfactory communication in L O S mode, is, 5, 15, 20, 25

MARKS App · Accepted Answer

Recall the formula of maximum distance between transmitting and receiving antenna, d = 2 R h T + 2 R h R 40 = 2 × 6400 × 45 × 10 - 3 + 2 × 6400 × h R 40 = 24 + 2 × 6400 × h R 256 = 2 × 6400 × h R h R = 256 2 × 6400 = 20 × 10 - 3 km = 20 m

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