#### Answer

The area of the lot is $\approx 13,294.9$ ft$^{2}$

#### Work Step by Step

1. Use the area formula
$A = \frac{1}{2}absin(C)$
$A = (0.5)(180)(150)sin(80)$
$= (0.5)(27000)sin(80)$
$= 13500sin(80)$
by GDC / calculator
$= 13294.90...$ ft$^{2}$
$\approx 13,294.9$ ft$^{2}$