Hungry Harry is a giant ogre with an appetite that fluctuates throughout the day. H(t)H(t)

H(t)

H, left parenthesis, t, right parenthesis

models the weight of sheep (in

kg\text{kg}

kg

start text, k, g, end text

) that Harry would like to swallow

tt

t

t

hours after he wakes up. Here,

tt

t

t

is entered in radians.

H(t)=12sin⁡(2π24t)+15H(t) = 12\sin\left(\dfrac{2\pi}{24}t\right ) + 15

H(t)=12sin(

24

2π



t)+15

H, left parenthesis, t, right parenthesis, equals, 12, sine, left parenthesis, start fraction, 2, pi, divided by, 24, end fraction, t, right parenthesis, plus, 15

What is the second time after Harry wakes up that he feels like consuming

17 kg17{\text{ kg}}

17 kg

17, start text, space, k, g, end text

of sheep?

Round your final answer to the nearest tenth of an hour.