TSM 352 HOMEWORK ASSIGNMENT 01 - University of IL
TSM 352 HOMEWORK ASSIGNMENT 02
Measurements and Calculations
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Problem2.2. Convert 3, 5, and 10 in. to a decimal part of a foot.
3 in. = 3/12 = 0.25 ft.
5 in. = 5/12 = 0.42 ft.
10 in. =10/12 = 0.83 ft.
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Problem 2.3. Convert 0.25, 0.1, and 0.85 ft to inches.
0.25 ft = 0.25*12 = 3 in.
0.1 ft = 0.1*12 = 1.2 in.
0.85 ft = 0.85*12 = 10.2 in.
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Problem 2.5. Compute the distance AB if Fig. 2.9 if BC is 100ft and the angle CAB is 40o. Compute AC.
[pic]
tan(40) = 100/AD
AD = 100/tan(40) = 100/0.8391 = 119.18 ft
sin(40) = 100/AC
AC = 100/sin(40) = 100/0.643 = 155.57 ft
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Problem 2.6. Determine the area in acres of block CDEFH if CD is 200 ft, CE' is 112.5 ft, FE is 840 ft, FH= 400 ft, and HC is 380 ft.
Area trapezium CDEF = (200+840)/2 *112.5 =58,500 ft2
Area triangle HCF = 380*400/2 = 76,000 ft2
Total area = 58,500+76,000 =134,500 ft2 = 134500/43,560 =3.09 acres
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Problem 2.11. Determine the area of a triangular field in square feet if the lengths of the three sides are 500, 600, and 900 ft.
s =(500 + 600 + 900) / 2 = 1000
Area = Square root(1,000 * (1,000 - 500) * (1,000 - 600) * (1,000 - 900)) = 141,421.36 ft2
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Problem 2.13. If the watershed area on a map measured with a planimeter is 36.2 square inches and the scale of the map is 100 ft/in., compute the area of the watershed in acres.
Length ratio = 100 ft/in.
Therefore area ratio = 100*100 = 10,000 sq. ft/sq. in.
Area = 36.2*10000 = 362,000 sq. ft = 362000/43560 = 8.31 acres
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Determine the distance in miles between Forsyth, IL and Cisco, IL, travelling along Interstate 72.
Using the length measurement tool in RMMS
| |Distance (ft) |Distance (miles) |
|Forsyth to Cisco Exit |84748 |16.05 |
|Cisco Exit to Clinton Exit |81340 |15.40 |
|Clinton Exit to Champaign |66356 |12.57 |
|TOTAL |232444 |44.02 |
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Determine the area, to the nearest acre, of the field bounded by the following latitudes and longitudes.
39.994957 -88.197959
39.996084 -88.197963
39.996105 -88.194476
39.992495 -88.194439
39.992467 -88.199121
39.99496 -88.199138
Link to Excel Worksheet
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