Answer
$θ\approx95.65º$
Work Step by Step
The largest angle is the one opposite to the longest side. In this case, 44 yd.
So, using the law of cosines, one can find that angle:
$44^2=36^2+22^2-2(36)(22)\cdot $cos$(θ)$
$1936=1296+484-1584 \cdot $cos$(θ)$
$1936-1296-484=-1584 \cdot $cos$(θ)$
cos$(θ)=\frac{156}{-1584}$
$θ=$cos$^{-1}\frac{156}{-1584}$
$θ=$cos$^{-1}\frac{156}{-1584}$
$θ\approx95.65º$
