A television antenna was installed in a House. This was secured with a 10 m long cable long, at a height of 6 m above the level of the floor, as shown in the drawing. At what distance d from the base of the antenna was the cable affirmed? At 4 m B. 8 m C. 16 m D. 32 m
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Answer:
Height of transmitting antenna, h
T
=128 m
Radius of earth, R=6.4×10
6
m
Receiving antenna is at ground level, i.e., h
R
=0
∴ The distance between the antennas: d=
2h
T
R
∴d=
2×128×6.4×10
6
=
10
128
×10
3
m
⟹ d=
10
128
km
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