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Petřín funicular

Detailed topographic map of the landscape near Petřín hill is given by contour lines at every 1 meter. 1. Determine the numerical map scale 1 : m. 2. Estimate the true length of funicular portion f. 3. Estimate the average slope between elevations 230 m-250 m. 4. Construct cross profile p with appropriate exaggerated scale.