Get:
∠DAC=60 -45 = 15。
CD=50 meters,
Draw a conclusion from sine theorem
CD/sin 15 =AD/sin45。
AD = 50 *√2/(2 sin 15)( 1)
And sin15 = sin (60-45) = (√ 6-√ 2)/4.
Substitute into the formula (1) and simplify.
AD=50(√ 3+ 1)。
In the right triangle ABD:
AB=AD*sin60
=√ 3AD/2
=50√ 3(√ 3+ 1)/2
=25(√ 3+3)
=25*( 1.732+3)
≈ 1 18 (m).
The height AB of Ferris wheel is about 1 18m.