Radio Station KBOB Broadcasts at a Frequency of 85

question 58

Short Answer

Radio station KBOB broadcasts at a frequency of 85.7 MHz on your dial using radio waves that travel at 3.00 × 10⁸ m/s.Since most of the station's audience is due south of the transmitter,the managers of KBOB don't want to waste any energy broadcasting to the east and west.They decide to build two towers,transmitting in phase at exactly the same frequency,aligned on an east-west axis.For engineering reasons,the two towers must be AT LEAST 10.0 m apart.What is the shortest distance between the towers that will eliminate all broadcast power to the east and west?

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Definitions:

Logarithms

The exponent or power to which a base, typically 10 or e, must be raised to produce a given number.

Evaluate

To calculate the numerical value of an expression.

Antler

A branched horn on the head of a male deer, elk, or moose, shed and regrown annually.

Shoulder Height

The vertical measurement from the ground to the top of the shoulders, often used in determining the height of animals or anthropometric measurements in humans.