Question

Высота Останкинской телевизионной башни-540м,радиус Земли-6371км.Определите,на каком расстоянии принимаются телевизионные передачи без ретрансляции

Answer 1

Поскольку квадрат касательной равен произведению внешней части секущей на ее полную длину, то расстояние, на котором сигнал Останкинской телебашни принимается без ретрансляции, равен  √ (0,54 * 12742,54)  = √ 6881 ≈ 83 км.

Answer 2

Calculation of the Distance for TV Transmission without Relay

To determine the distance at which television transmissions can be received without the need for relay, we can use the height of the Ostankino Television Tower and the radius of the Earth.

The height of the Ostankino Television Tower is given as 540 meters, and the radius of the Earth is given as 6371 kilometers.

To calculate the distance for TV transmission without relay, we can use the formula:

Distance = √(Tower Height^2 + Earth Radius^2)

Let's substitute the given values into the formula and calculate the distance:

Distance = √(540^2 + 6371^2)

Calculating this equation gives us a distance of approximately 6371.001 kilometers.

Therefore, television transmissions can be received without the need for relay up to a distance of approximately 6371.001 kilometers.

Please note that this calculation assumes ideal conditions and does not take into account factors such as atmospheric conditions, terrain, or the power of the transmission signal, which can affect the actual range of television transmissions.