An externally focusing telescope was used to sight a stadia rod. The upper, middle, and lower hair readings were read as: 1.586m, 1.558m, and 0.458m, respectively. If the line of sight is inclined at an angle of 6°40' with the horizontal, determine the vertical distance (m). Round your answer to 3 decimal places.

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A: ROD READING INSTRUMENT AT POSITION 1 INSTRUMENT AT POSITION 2 A 1.969 m 1.554 B 2.161m 1.728

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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.