The ticket is called "Kasamatsu Kanko-ken(傘松観光券).
Even if you are not visiting Nariai-ji temple but you are sure about you don't walk(or bike) through Amanohashidate, you will save 120JPY than original cost compared with paying round trip of "sightseeing boat and cable-car/chairlift"separately.
The ticket is valid 1day.
You can purchase the ticket at the both piers(Amanohashidate天橋立, Ichinomiya一の宮).
**If you like to walk or bicycle Amanohashidate for oneway, there is a ticket for 1100JPY which include single boat ride between Amanohashidate and Ichinomiya pier and round trip of cable car(or chair-lift) at Kasamatsu park. This ticket also give discount for the mountain bus to Nariai-ji temple.
If you visit Nariai-ji Temple, you will save 390JPY than original cost. Even you don't visit the temple, you will save 90JPY than original cost.