Question

Height of a TV tower is 600 m at a given place. Calculate its coverage range if the radius of the earth is 6400 km . what should be the height to get the double coverage area?

Answer 1

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◆ Answer -

d = 87636 m

h' = 2400 m

● Explanation -

# Given -

h = 600 m

R = 6400 km = 6.4×10^6 m

# Solution -

Coverage range of the tower is -

d = √(2hR)

d = √(2 × 600 × 6.4×10^6)

d = 87636 m

To double the coverage area -

2d = √(2h'R)

2 × 87636 = √(2 × h' × 6.4×19^6)

175272 = √(12.8×10^6 × h')

h' = 175272^2 / 12.8×10^6

h' = 2400 m