The day length in Manila, Philippines, varies over time in a periodic way that can be modeled by a trigonometric function.
Assume the length of the year (which is the period of change) is exactly
365
365365 days long. The shortest day of the year is December
21
2121, and it's
675.85
675.85675, point, 85 minutes long. Manila's longest day is
779.60
779.60779, point, 60 minutes long. Note that December
21
2121 is
11
1111 days before January
1
11.
Find the formula of the trigonometric function that models the length
L
LL of the day
t
tt days after January
1
11. Define the function using radians.
L
(
t
)
=
L(t)=L, left parenthesis, t, right parenthesis, equals

What is the day length on the People Power Anniversary (February
25
2525, which is
55
5555 days after January
1
11) in Manila? Round your answer, if necessary, to two decimal places.

minutes