Problem 1. Hill B (elev. = 2338.253 m) is in between hill A (elev. = 2336.264 m) and hill C (elev. = 2352.428 m). The distance of hills A and C from B are 16.608 km and 11.878 km, respectively. a) Find the height of tower to be constructed at hill A so that the line of sight would clear the ground at hill B by 3 m. b) Find the height of tower to be constructed at hill C so that the line of sight would clear the ground at hill B by 3 m. c) Find the height of equal towers to be constructed at hills A and C so that the line of sight would clear the ground at hill B by 3 m.

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State Plane Coordinate Systems

The state plane coordinate system (SPCS or SPS) is a collection of 124 coordinate systems or geographic zones prepared for particular regions of the U.S. Every state consists of one or more than one state plane zone, the boundaries of which generally follow the county lines. Inside the U.S., there are 110 zones in total, 10 more zones in Alaska, 5 in Hawaii, and 1 for Puerto Rico and US Virgin islands. The system is extensively used for geospatial and geographic data assembling by the state and local governments.