$[20$pts$]$ Suppose a BS has the transmit power of $1$W$,$ operating frequency of $60$ GHz $.$ As an engineering student, your task is to measure the path loss and received power at various locations. Assume freespace propagation and $29$ dBm antenna gains at both BS and your receiver device,

a$)$ Find the free space path loss at $\backslash (1\backslash$mathrm$\{$~m$\},100\backslash$mathrm$\{$~m$\}\backslash )$ and $1000$ m

b$)$ Find the received power at $\backslash (10\backslash$mathrm$\{$~m$\},100\backslash$mathrm$\{$~m$\}\backslash )$ and $1000$ m

c$)$ Find the rms voltage induced at your receiver antenna if it has purely real impedance of $50$ ohms.