Answer:
73 degrees
Step-by-step explanation:
Given that the temperature during a day can be modeled by a sinusoid.
At 4 am. lowest = 53 deg and at 4 pm highest = 99 deg
Amplitude = (99-53)/2 = 23
Mean temp = 76 deg
If 4 am is taken as t =0 then we have middle temp = 46 degrees at 10 a.m.
Hence equation would be of the form
T(t) =23 sin (pi t/12)+53 where T is the temperature and t is time in hours from 4 a.m.
At 8 am t =4
So T(4) = 23 sin pi/3 +53 = 19.92+53 =72.92
Nearly 73 degrees
