Final answer:
The sun is exactly halfway between sunrise and sunset at 1:06 PM on the day when the sun rises at 7:14 AM and sets at 6:58 PM.
Step-by-step explanation:
The question asked is: On a given day, the sun rises at 7:14 AM and sets at 6:58 PM. At what time that day will the sun be exactly halfway between sunrise and sunset?
To find out when the sun will be exactly halfway between sunrise and sunset, we can use average time calculation. The time between sunrise and sunset on this given day is from 7:14 AM to 6:58 PM. First, we need to calculate the total duration of daylight by converting these times to a 24-hour format.
Sunrise: 7:14 AM
Sunset: 6:58 PM (which is 18:58 in 24-hour format)
First, we find the difference in hours and minutes between sunset and sunrise:
18:58 - 7:14 = 11 hours and 44 minutes of daylight.
Next, we divide this duration by 2 to find the halfway point:
11 hours 44 minutes / 2 = 5 hours and 52 minutes
Now, we add this half duration to the time of sunrise to find the time when the sun is at its highest point in the sky (often called solar noon):
7:14 AM + 5 hours 52 minutes = 1:06 PM
Therefore, on this given day, the sun will be exactly halfway between sunrise and sunset at 1:06 PM.