A triangular lot ABC has a bearing and distance of line AB to be N 40° E and 800m and CA equal to 960m long. The lot is to be divided such that the area of APO is only 1⁄4 of the area of ABC. Point O is along the line AB and point P is along the line CA. Compute the distance AO and the dividing line PO. The area of triangle ABC is 300, 000 sq. m. AP is equal to 600m long.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
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A triangular lot ABC has a bearing and distance of line AB to be N 40° E and 800m and CA equal to 960m long. The lot is to be divided such that the area of APO is only 1⁄4 of the area of ABC. Point O is along the line AB and point P is along the line CA. Compute the distance AO and the dividing line PO. The area of triangle ABC is 300, 000 sq. m. AP is equal to 600m long.

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