A space mission is launched and the spacecraft has been sent with a half-wave dipole antenna operating at a frequency f. The ground station has an identical antenna to communicate to the spacecraft. After a period of time it is noticed that communication from the space craft is lost when it is at a certain distance, R, from the ground based antenna. As a solution to this, the ground station antenna is replaced with an antenna of 100dB gain, transmitting the same amount of power. Calculate the distance, D at which communication from the space craft will be lost again? Assume both antennas are ideal.