$解:(1)如图①, 连接 O C,$
$\because 直线 l 与圆 O 相切于点 C,$
$\therefore O C \perp l,$
$\because A D \perp l,$
$\therefore O C / / A D,$
$\therefore \angle O C A=\angle D A C,$
$\because O A=O C,$
$\therefore \angle B A C=\angle O C A$
$\therefore \angle B A C=\angle D A C=30^{\circ}\ $