Answer:
The value of distance traveled by the beat = 6 miles
Step-by-step explanation:
From Δ ABC
AC = distance between two persons after one hour = 10 miles
AB = Distance traveled by sarah = 8 miles
BC = Distance traveled by beth = x miles
From pythagoras theorm
[tex]AC^{2} = AB^{2} + BC^{2}[/tex]
[tex]10^{2} = 8^{2} + x^{2}[/tex]
[tex]x^{2} = 100 - 64[/tex]
[tex]x^{2} = 36\\[/tex]
x = 6 miles
This is the value of distance traveled by the beat.
