To determine the area of a triangular lot ABC, a surveyor set-up a transit at point P inside the lot and recorded the following bearing and distances of each corners of the lot from P.

To determine the area of a triangular lot ABC, a surveyor set-up a transit at point P inside the lot and recorded the following bearing and distances of each corners of the lot from P.

Corner Bearing from P Distance from P
A N 47° 32' W 36.25 m
B N 68° 52' E 58.32 m
C Due South 65.25 m

Determine the area of the lot in square meter.