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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