Problem $17\mathrm{.}12$

On a map drawn to a scale of $1$:$1000,$ contour lines are $2mm$ apart at a center location.

The contour interval is $0\mathrm{.}1m.$ What is the ground slope in pereent, between adjacent Contours?

Problem $18\mathrm{.}22$

If an area having an average slope of $8\%$ is mapped using a scale of $1$:$2000$ and contour. interval of $0\mathrm{.}5m,$ how far apart will contours be on the map?

Problem $18\mathrm{.}1$

What is the scale of the USGS $7-\frac{1}{2}$ minute quadrangle map?

Problem $18\mathrm{.}18$

If a map is to have a $1-$in$.$ border, what is the largest nominal scale that may be used for a subject area with dimensions of $604ft$ and $980ft$ on a paper of dimensions $24$ by $36$ in$?$

Problem $19\mathrm{.}1$: Given: The Clarke $1866$ ellipsoid, The GRS$80$ ellipsoid Find: Circumference of both ellipsoids. $($Use Semi axis $\text{'}$a$\text{'}$ for both ellipsoids.$)$

Problem $19\mathrm{.}2$: Given: Geodetic height is $243\mathrm{.}983m$; Geoidal undulation is $-30\mathrm{.}70m$ Find: The orthometric height.

Problem $19\mathrm{.}3$: Given: Bill, height $=453\mathrm{.}278m,$ gravity $=980,678\mathrm{.}9$ mgal and Hardwick, height $=336\mathrm{.}908m,$ gravity $=980,579\mathrm{.}4$ mgal Find: Leveled height between Bill and Hardwick $($Use eqs. $19\mathrm{.}42$ and $19\mathrm{.}43$

Problem $20\mathrm{.}1.$ What are the SPCS$83$ coordinates $($in sft$)$ and convergence angle for a station in the North zone of Pennsylvania with geodetic coordinates of $41{14}^{\text{'}}{14\mathrm{.}22063}^{\text{'}\text{'}}N$ and $76{43}^{\text{'}}{34\mathrm{.}06012}^{\text{'}\text{'}}W?$ Use Wolfpack: Inputs: Datum: GRS $80$ North zone of Pennsylvania SPCS$83$ Latitude $=41{14}^{\text{'}}{14\mathrm{.}22063}^{\text{'}\text{'}}N$ Longitude $=76{43}^{\text{'}}{34\mathrm{.}06012}^{\text{'}\text{'}}W$

Problem $20\mathrm{.}2$: Similar to Problem $1,$ except that the station's geodetic coordinates are $41{13}^{\text{'}}{20\mathrm{.}03582}^{\text{'}\text{'}}N$ and $75{58}^{\text{'}}{46\mathrm{.}28764}^{\text{'}\text{'}}W.$ Give coordinates in meters. Use Wolfpack: Input: Datum: GRS $80$ North zone of Pennsylvania SPCS$83$ Latitude $=41{13}^{\text{'}}{20\mathrm{.}03582}^{\text{'}\text{'}}N$ Longitude $=75{58}^{\text{'}}{46\mathrm{.}28764}^{\text{'}\text{'}}W$