a guy ovserves sun at an angle of 15 degree and after sometime it is 55 degree. what is the time between his observation?
To determine the time between the guy's observations, we can use the concept of the apparent movement of the Sun across the sky. The most common method is to assume that the Sun moves at a constant angular speed throughout the day.
Let's break down the problem:
1. The guy observes the Sun at an angle of 15 degrees.
2. After some time, the guy observes the Sun at an angle of 55 degrees.
Since we assume the Sun moves at a constant angular speed, we can determine the time between the observations by finding how long it takes for the Sun to move from 15 degrees to 55 degrees.
The total angular distance that the Sun needs to cover is:
55 degrees - 15 degrees = 40 degrees
Now, we need to determine the time it takes for the Sun to cover this angular distance. We know that the Sun takes approximately 24 hours (or 1440 minutes) to complete a full rotation around the Earth.
To find the time it takes for the Sun to move 1 degree, we can calculate:
Time for 1 degree = Total time / Total angular distance
Time for 1 degree = 1440 minutes / 360 degrees
Time for 1 degree = 4 minutes
Now, we can find the time it takes for the Sun to move 40 degrees (from 15 degrees to 55 degrees):
Time for 40 degrees = Time for 1 degree * 40 degrees
Time for 40 degrees = 4 minutes * 40 degrees
Calculating the time between the guy's observations:
Time between observations = Time for 40 degrees
Thus, the time between the guy's observations is 160 minutes (4 minutes * 40 degrees).
Therefore, the time between his observations is 160 minutes.