PreCalculus help- How would I solve the problem below to the nearest hour(hour, am or pm and day are asked for)?

Question

If we have T(t)=21sin(2pi/24(t-7))+65

is the temperature (in degrees Fahrenheit) at time t, where t is measured in hours after midnight on Sunday. You finish painting the exterior door to your house at 5 PM on Monday. The paint information states that 48 hours of 73°F drying time is required; i.e., you can only count time periods when the temperature is at least 73°F. When will the door be dry? (Round your answer to the nearest hour.)

Answer 1

If my math is correct I got 3:30 AM on Thursday.

Answer 2

73 ≤ 21 sin (2π / (24(t - 7))

Now use transformations from Algebra 1 and 2 to solve for t.