A proud father is attempting to take a picture of his daughters while they are riding on a merry-goround. Horses on this particular ride move up and down as the ride progresses according to the function

where h(t) represents the height (in feet) of the horse’s nose at time t, relative to the merry-go-round platform. However, because of safety fencing surrounding the ride, it is only possible to get a good picture when the height of the horse’s nose is between 3.5 and 4 ft off the merry-go-round platform. Find the first time interval that the father has to take the picture.

Transcribed Image Text:

h(t) = sin(- - 2) - 4.