1. Problem On a map drawn to a scale of 1:1000, contour lines are 2 mm apart at a center location. The contour interval is 0.1 m. What is the ground slope in percent, between adjacent Contours? 2. Problem If an area having an average slope of 8% is mapped using a scale of 1:2000 and contour. interval of 0.5 m, how far apart will contours be on the map? 3. Problem What is the scale of the USGS 7-1/2 minute quadrangle map? 4. Problem 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 604 ft and 980 ft on a paper of dimensions 24 by 36 in? 5. Problem Given: The Clarke 1866 ellipsoid, The GRS80 ellipsoid Find: Circumference of both ellipsoids. (Use Semi axis 'a' for both ellipsoids.) 6. Problem: Given: Geodetic height is 243.983m; Geoidal undulation is -30.70m Find: The orthometric height. 7. Problem Given: Bill, height = 453.278m, gravity = 980,678.9 mgal and Hardwick, height=336.908m, gravity= 980,579.4 mgal Find: Leveled height between Bill and Hardwick (Use eqs. 19.42 and 19.43