Question

Marks 15 2) The lot shown below borders on the Thompson River. Given the area of the polygonal portion of the lot, you are to calculate: the azimuth and length of the baseline the area of the lot located between the baseline and the shoreline of the river. AREA = 4440 Sq. Meters X.P. (1000,1000) 2.5 23.5 24.0 21.5 13.5 17.0 21.5 23.5 (14.0 12.5 10.1 PS (976.631,867.469) THOMPSON RIVER 13 Spaces @ 10 meters = 130 meters

Answer 1

Hi,

Solution as follows:

1. Azimuth and length of baseline:

Data provided in the question is as follows:

• Coordinates of I.P. (N, E) = (976.631, 867.469)
• Coordinates of L.P. (N, E) = (1000, 1000)

2. Area by the trapezoidal rule:

Trapezoidal Rule: - According to this rule, area of an irregular shape can be determined. Shape is divided into strips of equal width and offset of edges of strips is measured. Then area can be calculated by below formula:

Where,

A = Area of shape

d = Width of Strip

F = offset of first edge

L = offset of Last edge

M = Sum of offsets of middle edges

Area of 130 m length divided in equal spaces by trapezoidal rule,

Area of 4.58 m length (134.58–130=4.58) triangular shape,

Total area of the lot = 2623.4+7.33 = 2630.73 m²