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Two Radio Antennas Are 10 km10 \mathrm {~km} Apart on a North-South Axis on High Mountain Tops at North-South

question 136

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Two radio antennas are 10 km10 \mathrm {~km} apart on a north-south axis on high mountain tops at the seacoast. The antennas broadcast identical AM radio signals, in phase, at a frequency of 4.70MHz4.70 \mathrm { MHz } . A steamship, 200 km200 \mathrm {~km} offshore, travels toward the north at 15 km/h15 \mathrm {~km} / \mathrm { h } and passes east of the antennas. A radio on board the ship is tuned to the broadcast frequency. The reception of the radio signal on the ship is a maximum at a given instant. How much later until the next occurrence of maximum reception? (c=3.00×108 m/s) \left( c = 3.00 \times 10 ^ { 8 } \mathrm {~m} / \mathrm { s } \right)


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