Let us suppose the distance between the sandbox and garden is x feet.
Apply the sine law in the given triangle, we have
[tex]\frac{x}{\sin 65^{\circ}}=\frac{36}{\sin 104^{\circ}}\\
\\
\text{On coss multiplying, we get}\\
x\sin 104^{\circ}=36\sin 65^{\circ}\\
\\
x=\frac{36\sin 65^{\circ}}{\sin 104^{\circ}}\\
\\
x\approx 33.6[/tex]
Therefore, in the nearest foot, the distance between the sandbox and garden is 34 foot.
