Chapter 3.3, Problem 23PSC

To determine

The wires of the antenna are equal in length.

Explanation of Solution

Given information : Antenna is kept perpendicular to the ground and Wires are stacked at the circle.

Formula used: Pythagoras ThoeremProof: As, the base of antenna is on the center of circle,

  $\therefore$ Base of the wires are radius of circle

  $\Rightarrow$ Base of wires are equal.

Now, all three wires are coming from the same antenna,

  $\therefore$ Height of antenna is also equal

As, Base and Perpendicular of all wires are equal,

Then, according to Pythagoras theorem,

Hypotenuse or the length of the wires will also be equal.

  $\therefore$ The wires of the antenna are equal in length.