Solution: If a surveyor measures differences in elevation when making plans for a
Chapter 8, Problem 31(choose chapter or problem)
If a surveyor measures differences in elevation when making plans for a highway across a desert, corrections must be made for the curvature of the earth. (a) If is the radius of the earth and is the length of the highway, show that the correction isC R secLR R(b) Use a Taylor polynomial to show that C L2 2R5L4 24R3(c) Compare the corrections given by the formulas in parts (a) and (b) for a highway that is 100 km long. (Take the radius of the earth to be 6370 km.)
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