Question: Given the following range equation $r^{2}=(x-a)^{2}+(y-b)^{2}$ with a range error of $0.5$ meters (1sigma) and the table below: begin{tabular}{[1]111]111]} hline $mathrm{a}$ & 0& 10 &

$Given the following range equation $r^{2}=(x-a)^{2}+(y-b)^{2}$ with a range error of$

Given the following range equation $r^{2}=(x-a)^{2}+(y-b)^{2}$ with a range error of $0.5$ meters (1sigma) and the table below: \begin{tabular}{[1]111]111]} \hline $\mathrm{a}$ & 0& 10 & 0 & 10 W \hline $\mathrm{b}$ & 0& 0 & 10 & 10 \hline $\mathrm{r}$ & 25 & 65 & 45 & 85 \hline \end{tabular) a) Find Jacobi2n martrix for this system b) What is the expected solution uncertainty (1-sigma) c) What is the solution for $x$ and $y$ d) Perform a monte-carlo simulation and verify part $b$CS. SD. 118

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