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Question: A TV transmitting antenna is 81 m tall. How much service area it can cover if the receiving antenna ...

A TV transmitting antenna is 81 m tall. How much service area it can cover if the receiving antenna is at the ground level? (Radius of earth = 6.4 x 106 m)

A

3258 km2

B

4180 km2

C

2510 km2

D

1525 km2

Answer

3258 km2

Explanation

Solution

: Service area it can cover , A=πd2A = \pi d^{2}

A=π(2hR)=227×81×6.4×106m2=3258km2A = \pi(2hR) = \frac{22}{7} \times 81 \times 6.4 \times 10^{6}m^{2} = 3258km^{2}