Question

If the radio horizon of a transmitting antenna is 21.6 km, the height of the antenna is:

• A. \( 42.25 \, {m} \)
• B. \( 54.25 \, {m} \)
• C. \( 18.45 \, {m} \)
• D. \( 36.45 \, {m} \)

Hint:

Remember the formula for the distance to the horizon to solve similar problems involving radio or optical horizons.

Answer 1

The Correct Option is D

Calculating the height based on the radio horizon distance. Using the formula for the distance to the horizon: \[ d = \sqrt{2Rh} \] \[ 21.6 \, {km} = \sqrt{2 \times 6.4 \times 10^6 \, {m} \times h} \] Solving for \( h \), we find \( h = 36.45 \, {m} \).