$解:由題意得,?AB//A'B'//OS?$
$∵?AB//OS?$
$∴?△ABC∽△SOC?$
$∴?\frac {AB}{SO}=\frac {BC}{OC}?$
$∵?A'B'//SO?$
$∴?△A'B'C'∽△SOC'?$
$∴?\frac {A'B'}{SO}=\frac {B'C'}{OC'}?$
$∵?AB=A'B'?$
$∴?\frac {BC}{OC}=\frac {B'C'}{OC'}?$
$設(shè)?OC=(x+1)m,??OC'=(x+5.8)m?$
$∴?\frac 1{x+1}=\frac {1.8}{x+5.8},?解得?x=5?$
$∴?OB=5m,??OC=6m?$
$∵?\frac {AB}{SO}=\frac {BC}{OC}?$
$∴?\frac {1.5}h=\frac 16,?解得?h=9?$
$答:路燈的高度為?9?米。$