Given:
Length of each road before it zig-zags = 100 m
Number of tmes = 10
Let's find the distance between the two ends of the roads.
Let's first make a free sketch of the road.
To find the distance between the ends of one zig-zag, apply Pythagoean theorem:
[tex]\begin{gathered} L=\sqrt{(100*10)^2+(100+10^2)} \\ \\ L=\sqrt{(1000)^2+(1000)^2} \end{gathered}[/tex]Solving further:
[tex]\begin{gathered} L=\sqrt{1000000+1000000} \\ \\ L=\sqrt{2000000} \\ \\ L=1414.21\text{ m} \end{gathered}[/tex]Therefore, the distance between both ends is 1414.12 m.
• ANSWER:
1412.12 m
