Signals are transmitted at a 1-m carrier wavelength between two identical half-wave dipole antennas spaced by 1 km. The antennas are oriented such that they are exactly parallel to each other. (a) If the transmitting antenna radiates 100 watts, how much power is dissipated by a matched load at the receiving antenna? (b) Suppose the receiving antenna is rotated by 45° while the two antennas remain in the same plane. What is the received power in this case?