Answer
$260.2\ ft$ and $239.3\ ft$
Work Step by Step
Step 1. Draw a diagram as shown in the figure (not to scale).
Step 2. For the left triangle, we have the angle $B=90^\circ+5^\circ=95^\circ$
Step 3. Using the Law of Cosines, we have
$b^2=(200)^2+(150)^2-2(200)(150)cos95^\circ\approx67729$
Thus $b\approx260.2\ ft$
Step 4. For the right triangle, we have the angle
$D=90^\circ-5^\circ=85^\circ$
Step 5. Using the Law of Cosines, we have
$d^2=(200)^2+(150)^2-2(200)(150)cos85^\circ\approx 57271$
Thus $d\approx239.3\ ft$