Question $5$

$10$ pts

A level setup midway between $x$ and $Y$ reads ${6\mathrm{.}29}^{\text{'}}$ on $x$ and ${7\mathrm{.}91}^{\text{'}}$ on $Y.$ When moved within a few feet of $x,$ readings of $5\mathrm{.}18\text{'}$ and $6\mathrm{.}76$ are recorded. What is the true elevation difference, and the reading required on $Y$ to adjust the instrument?

${0\mathrm{.}05}^{\text{'}}$ and ${7\mathrm{.}50}^{\text{'}}$

${0\mathrm{.}04}^{\text{'}}$ and ${6\mathrm{.}80}^{\text{'}}$

${0\mathrm{.}06}^{\text{'}}$ and ${6\mathrm{.}10}^{\text{'}}$

${0\mathrm{.}02}^{\text{'}}$ and ${4\mathrm{.}30}^{\text{'}}$