2. Your For a Bangor, Maine area route design project, you have performed astronomic observations for...

 

Transcribed Image Text:

2. Your For a Bangor, Maine area route design project, you have performed astronomic observations for directional control at a series of places. boss tells you since it is a small area the same convergence angle can be applied to all of the astronomic observations. Mathematically quantify whether your boss is correct or incorrect. Assume the southwesternmost corner of the project is at a latitude of 44-51-10 and a longitude of 68-45- 30. The project ends northerly 3.2 miles and easterly 3.8 miles. 3. For the same route design, how much scale error (error in distance) in a 1/X form is caused by assuming one scale factor? How much scale error is introduced by assuming a mean elevation factor? What error is caused by ignoring all scale and elevation factors? The elevation Lange in the area is from 96 to 260 ft. 4. Baxter state park's boundary approximately 12 miles E-W in length and the 24 miles N-S (rectangular assumed). The center of the park 13 approximately located at 46-00-00 latitude and 68-55-00 longitude. Assuming the lowest elevation in the park is 500 ft. about mal and that Mt. Katahdin is at 5280 ft. above mal, compute the park's acreage using state plane coordinates, compute it accounting for state plane scale factor (use Maine East NAD 27), and compute its acreage at the two elevation extremes. Elaborate on the differences in the acreages (43560 sq. ft. 1 acre). You may generate state plane Coordinates for the boundary corners in a fairly arbitrary fashion since this question deals only with relative comparison issues. 2. Your For a Bangor, Maine area route design project, you have performed astronomic observations for directional control at a series of places. boss tells you since it is a small area the same convergence angle can be applied to all of the astronomic observations. Mathematically quantify whether your boss is correct or incorrect. Assume the southwesternmost corner of the project is at a latitude of 44-51-10 and a longitude of 68-45- 30. The project ends northerly 3.2 miles and easterly 3.8 miles. 3. For the same route design, how much scale error (error in distance) in a 1/X form is caused by assuming one scale factor? How much scale error is introduced by assuming a mean elevation factor? What error is caused by ignoring all scale and elevation factors? The elevation Lange in the area is from 96 to 260 ft. 4. Baxter state park's boundary approximately 12 miles E-W in length and the 24 miles N-S (rectangular assumed). The center of the park 13 approximately located at 46-00-00 latitude and 68-55-00 longitude. Assuming the lowest elevation in the park is 500 ft. about mal and that Mt. Katahdin is at 5280 ft. above mal, compute the park's acreage using state plane coordinates, compute it accounting for state plane scale factor (use Maine East NAD 27), and compute its acreage at the two elevation extremes. Elaborate on the differences in the acreages (43560 sq. ft. 1 acre). You may generate state plane Coordinates for the boundary corners in a fairly arbitrary fashion since this question deals only with relative comparison issues.