From problem set 4 unit 2C problem 10
I have some problems understanding the solution. The goal is to find the route that requires the minimum time to travel between to points. The equation to optimize is T=[(x^2+100^2)^1/2]/5+[((a-x)^2+100^2)^1/2]/2 .I differentiate obtaining the same result as the solution which is t prime equals to: [x/5(100^2+x^2)^1/2]+[a-x/2((a-x)^2+100^2)^1/2]. At this point the solution substitutes both terms with sin, but both numerators are adjacent side to the angles not opposite.. Could someone please help me understand better this problem? Thank you in advance

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