Random 3U Question (1 Viewer)

[RivalryofTroll]

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[hayabusaboston]

I was about to write something then I look and I see Sy123 browsing this thread lol.
will leave it to him.

 

[braintic]

Two towns, located on the same side of a river, agree to construct a pumping station at the river edge, to be used jointly to supply the towns with water. The distances of the two towns from the river are 'a' and 'b' and the distance between DE is c.
(Diagram is attached)
View attachment 28289

(a) Show that the shortest path from A to B via C occurs when:
x = ac/(a + b)

(b) Hence prove the law of reflection that the shortest path occurs when Angle ACD = Angle BCE

See attachment: View attachment Reflection.pdf

 

[RivalryofTroll]

See attachment: View attachment 28290

Thanks, you're a legend!