Q1.) Consider a triangular shaped pasture for which a perimeter fence must be built. The length of the side A is 300m +- 2%, the length of side B is 400m +- 3%, and the length of side C is 500m +- 0.5%.   What is the nominal value of the measure in meters? What length of fencing must be purchased in meters?

Q: A farmer has 3000 m of fencing on hand. Determine the dimensions of a rectangular on fencing that…

A: The perimeter is given by, 2x+y=3000x=3000-y2x=1500-y2.........(1)And area, A=x×y..........(2)

Q: (a) Consider two points on the equator at coordinates (latitude, longitude) of (0°N, 20°E) and (0'N,…

A: We use the Haversine formula to find out the great circle distance between two points (ϕ1,λ1) and…

Q: If you sampled 50 1/10 acre plots, how many acres have you sampled? 12.5 50

A: number of sample=50 size of sample = 1/10 acres

Q: The centerline of a proposed road having a bearing of N 45° E passes through the diagonal square lot…

A:

Q: Determine the minimum path for nodes 1, 3, and 9 in Figure below. Sketch the final trees.

A: Data given: Asked: Determine the minimum path for nodes 1, 3, and 9

Q: Given the following cross section notes of an earthwork on a rolling terrain. The width of the road…

A:

Q: Compute the immediate settlement 4H; using the Schmertmann formula using an average 4q value (qv1 =…

A: Given : qv1 = 233.3 kPa , qv2 = 163.3 kPa , qv3 = 77.0 kPa , qv4 = 44.0 kPa and qv5 = 28.0  Es at…

Q: Determine the volume of a 10’ deep of a polygon (n=8 equal size each shape with a radius of 200’)…

A: To determine the volume of a lot that is 10 feet deep and has a polygonal base with 8 equal sides…

Length and Length related Variables

Length can de defined as the measurement or extent of physical quantities or objects from one terminal to another terminal. Stone age humans used finger length, step length, and so on to measure the size or displacement of an object. Nowadays, depending on how precise the measurement requires to be and the object’s size is measured, we use measuring devices for measurements like rulers and steel tape. Most people have used a ruler or tape measure to measure a particular distance or the size of an object. For more precise measurements of tiny objects, the development of measurement tools such as the Vernier caliper, which permits us to measure dimensions within 1/1000 of an inch. In the last few decades, electronic distance measuring instruments (EDMI) have been implemented that permit us to measure distances from a few feet to many miles with reasonable accuracy.