A TV tower has a height of 100m. The average population density around the tower is 1000 per km2 . The radius of the earth is 6.4 x 10^6 m. × The population covered by the tower is
Correct answer: C. 4 x 10^6
- A. 2 x 10^6
- B. 3 x 10^6
- C. 4 x 10^6
- D. 6 x 10^6
Explanation
d = √(2Rh)where:• d = maximum distance covered by the tower• R = radius of the Earth = 6.4 * 10 ^ 6 m• h = height of the tower = 100mStep 1: Calculate the Coverage Radiusd = √(2(6.4 ×10 ^ 6) × 100) d = √{1.2×10^9}]A = πd ^ 2A = 3.14 × (35.8) ^ 2A = 3.14 × 1280A = 4020 km ^ 2Given that the population density is 1000 people per km², the total population covered is:Population = Area × Density4020 × 1000= 4.02 × 10^6
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