least time

[khanguru]

these equations come from the least time problem
need to solve for x
x=30/ tan(90-i)
100-x=20/tan(90-r)
sin(i)=4*sin(r)
3 equations 3 unknowns
thx

 

[Deleted member 4993]

these equations come from the least time problem
need to solve for x
x=30/ tan(90-i)
100-x=20/tan(90-r)
sin(i)=4*sin(r)
3 equations 3 unknowns
thx

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Please share your work with us ...even if you know it is wrong

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start with tan (90-Θ) = cot(Θ) = √[1 - sin²(Θ)] * 1/sin(Θ)