Too far away ?
I do not think so, not at all,
the biking distance between Sanzhi <---> Hoek lighthouse is 6.7Km,
6.7 x 2 = 13.4Km
Kjumillig, did you have ever been went to Hoek lighthouse before ?
please to be a honest Taiwanese,
you may stay 5 stars hotel in Taipei,
Taipei ---> Sanzhi ---> Hoek lighthouse, and back to Taipei within one day,