Hello.   A weather radar operates at location R and emits to/receives and displays bounced signals from snowing points S.  Beyond the snowing there is rain or sleet at E or more snow in the same direction.

R----------------------S---SS---------SSS--------EEEE---E-EE--------SSS------ >

If the radar signal bounces from the precipitation back 'reporting' the signal; how are the beyond places detected, if the outgoing signal is severely attenuated/bounced/impeded after  crossing trough large distances with precipitation ?

If relevant, take each - as a mile.

7 hours ago, Externet said:

how are the beyond places detected, if the outgoing signal is severely attenuated/bounced/impeded after  crossing trough large distances with precipitation ?

They aren’t 

http://research.atmos.ucla.edu/weather/C110/Documents/tmp/basic_wxradar/navmenu.php_tab_1_page_3_4_2_type_text.htm

Consider a situation in which an intense thunderstorm is close to the radar. Attenuation occurring in the heavy precipitation core of the closest storm can cause precipitating areas downrange to appear less intense. In severe cases of attenuation, some precipitation occurring downrange may not be displayed in the image at all.

Good tutorial link, thank you.