12.9 - Calculate the z values for the unknown points listed below, using an inve

Question

12.9 - Calculate the z values for the unknown points listed below, using an inverse distance weighted approach. Use the three nearest known points (use i 3, n 1). Known points are shown in map as filled circles and corresponding coordinate and z values in the table at right. ID 0 153,951.9 4,478,714.62040.6 1151,280.9 4,479,647.3 1863.0 2 148,228.54.472.143.4 1992.1 3 148.906.8 4,464.978.6 2540.1 4 152,383.2 4.466,928.8 2106.3 5 158,827.34,475,746.9 2283.2 6 160.607.9 4.475.874.2 1933.5 7163,024.4 4.477 3579 1836.4 8 164,465.8 4.481,173.5 18383 9 166,416.0 4.468.285.4 2523.9 10 164,169.1 4.468.370.4 2138.8 11 160,692.7 4,468,709.3 1854.2 12 156,537.9 4,464,724.2 1866.9 13 167.306.3 4,462.816.5 2453.8 14 143,946.6 4,482,445.41837.9 14 15 2 1 10 9 12 13 Unknown points: ID a 155,859.6 4,477,146.0 b 147.592.6 c 162.515.74,469,981.2 4.478,884.2 d151.70494 44637492 15 144.709.7 4,475.323. 1912.8

Explanation / Answer

Ans)

For point a, nearest known points are 0,5 and 6.

The weighted average value of z =(2050.6+2283.2+1933.5)/3 =2085.77

For point b, the nearest points are 1,14 and 15.

So the weighted average value of Z = 1871.23

For point c, the nearest points are 9, 10 and 11

So the value of Z at c = 2172.3

For point d the nearest known points are 3, 4 and 12

The value of Z= 2171.1.

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