Partitioning a parcel by a line through a fixed point
A cut line must start at an existing monument on the frontage and sever 2.400 acres. Swing a trial line to a corner, then rotate it off that corner by the triangle the deficiency demands.
Analyze· about 34 minutes by hand· 5 steps
Given
Parcel: LOT 14, five corners, US survey feet, northing first.
A N 3000.00 E 4000.00
B N 3480.00 E 4160.00
C N 3380.00 E 4720.00
D N 2960.00 E 4820.00
E N 2860.00 E 4300.00
Boundary courses: A-B N 18°26′06″ E 505.96 ft; B-C S 79°52′31″ E 568.86 ft; C-D S 13°23′33″ E 431.74 ft; D-E S 79°06′52″ W 529.53 ft; E-A N 64°58′59″ W 331.06 ft.
An existing monument P stands on the A-B frontage at N 3189.74, E 4063.25 - 200.00 ft from A and 305.96 ft from B.
A division line is to be run from P, and must be run from P: the monument cannot be moved and no other point on the frontage may be used.
The division must sever exactly 2.400 acres on the B side of the line.
Required
The point X on the boundary at which the line from P must terminate.
The length and bearing of the division line P-X.
The areas of both resulting parcels.
Work it through yourself before reading on - the solution below shows every step, so there is no way to skim it without giving the answer away.
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