Q$8.$ Given PI at $5+250\mathrm{.}430,I=28{42}^{\text{'}}{20}^{\text{'}\text{'}},$ and $R=400m,$ compute $E($external$),M($midordinate$),$ and the stations of the PC and PT$.$

Q$9.$ Given PI at $2+445\mathrm{.}012,I=16{48}^{\text{'}},$ and $R=530m,$ compute the deflection angles and chord lengths for even $40-$m stations. $[$Hint: Use the following stations: PC Station, $2+400,2+440,2+480,2+520,$ PT Station$]$

CE$309($Fall$-2024)$

$2024-11-08$

Q$10.$ A highway curve $($arc definition$)$ to the right, having $R=650m$ and $I=20{36}^{\text{'}},$ will be laid out by coordinates with a total station instrument setup at the PI$.$ The PI station is $6+945\mathrm{.}400m,$ and its coordinates are $x=72,625\mathrm{.}324m$ and $Y=34,120\mathrm{.}682m.$ The azimuth $($from north$)$ of the back tangent proceeding toward the PI is $46{18}^{\text{'}}{20}^{\text{'}\text{'}}.$ To orient the total station, a backsight will be made on a POT $($point on tangent$)$ on the back tangent. Compute lengths and azimuths necessary to stake the curve at $30-m$ stations. Compute the $x,Y$ coordinates of each station. $[$Hint: Use the following stations: PC Station, $3+780,3+810,3+840,3+870,3+900,3+930,$ PT Station$]$