Question

In the month of March, the temperature at the South Pole varies over the day in a periodic way that can be modeled approximately by a trigonometric function. The highest temperature is about -50^\circ C−50 ∘ Cminus, 50, degrees, C, and it is reached around 2\text{ p.m.}2 p.m.2, start text, space, p, point, m, point, end text The lowest temperature is about -54^\circ C−54 ∘ Cminus, 54, degrees, C and it is reached half a day apart from the highest temperature, at

Answer 1

Answer:

2am

Step-by-step explanation:

We know that the temperature variation is depicted by trignometric function. The total cycle of any trignometric function can be divded into four parts. In first quarter of the cycle, the value rises from mean to max. In 2nd quater, it falls to mean again. In third quarter it lowers to minimum and in last quarter rises to mean again.

Dividing the daily temperature variation cycle into four quaters of 6 hours each.  The difference in time for any trignometric function to reach from its maximum value to minimum value is one-half of the cycle. In this case, it will be 12 hours.

Therefore daily temperature will fall to its minimum value 12 hours after reaching maximum that is at 2 am