An ant clings to the tip of the minute hand on a clock. The minute hand is 4 inches long and the center of the face of the clock is 72 inches off the ground. As time passes, the minute hand spins. Believe it or not, it makes one full revolution every 60 minutes. At 7:00 PM, the minute hand points straight up. The height of the ant 𝑡 minutes after 7:00 PM can be modelled by the function ℎ𝑡.
The function ℎ can be written in the form ℎ𝑡=𝑎sin𝑏𝑡+𝑐+𝑑.
Find values of constants 𝑎, 𝑏, 𝑐, and 𝑑.