I(t)I(t)I, left parenthesis, t, right parenthesis models the daily solar irradiance, measured in \dfrac{\text{kWh}}{\text{m}^2\text{ -day}}
m
2
-day
kWh

start fraction, start text, k, W, h, end text, divided by, start text, m, end text, squared, start text, negative, d, a, y, end text, end fraction, on a farm, ttt days after the summer solstice. Here, ttt is entered in radians.
I(t) = 1.5\cos\left(\dfrac{2\pi}{365}t\rig ht) + 4.3I(t)=1.5cos(
365
2π

t)+4.3I, left parenthesis, t, right parenthesis, equals, 1, point, 5, cosine, left parenthesis, start fraction, 2, pi, divided by, 365, end fraction, t, right parenthesis, plus, 4, point, 3
What is the second time after the summer solstice that the solar irradiance is 5.2 \dfrac{\text{kWh}}{\text{m}^2\text{ -day}}5.2
m
2
-day
kWh

5, point, 2, start fraction, start text, k, W, h, end text, divided by, start text, m, end text, squared, start text, negative, d, a, y, end text, end fraction?
Round your final answer to the nearest whole day.
days