$解:設(shè)?PD=xm?$
$∵?PD⊥AB?$
$∴?∠ADP=∠BDP=90°?$
$在?Rt △PAD?中,?tan ∠PAD=\frac {x}{AD}?$
$∴?AD= \frac x{tan 38.5°}≈ \frac {x}{0.80}=1.25x?$
$在? Rt △PBD?中,?tan ∠PBD=\frac {x}{DB}?$
$∴?DB=\frac {x}{tan 26.5°} ≈ \frac {x}{0.50}=2x?$
$又∵?AB=80.0\ \mathrm {m}?$
$∴?1.25x+2x=80.0?$
$解得?x≈24.6,?即?PD≈24.6\ \mathrm {m}?$