Beast Mode Question:
I am seating in one of the corners of the room when the time was exactly 12:30PM. I was decided to go to the other corner of the room at 12:35. I go outside of the room when the sun was directly ahead of me. Find the inclination of the sun at 2:00PM with respect to horizontal.
To answer this question, we need to consider the time difference between 12:30 PM and 2:00 PM. It is a 1.5-hour difference.
The inclination of the sun refers to the angle between the horizon and the position of the sun in the sky. At noon, the sun is generally at its highest point in the sky, and the angle it makes with the horizontal (i.e., the inclination) is 90 degrees minus the observer's latitude. However, since we don't have information about the observer's location, we will assume a general location where the latitude is 0 degrees (i.e., the equator).
From 12:30 PM to 2:00 PM, an hour and a half has passed. During this time, the sun moves approximately 15 degrees across the sky. Therefore, we can calculate the inclination of the sun at 2:00 PM as follows:
Inclination at 2:00 PM = 90 degrees - observer's latitude + change in sun's position
Assuming the observer is at the equator (0 degrees latitude), we can calculate:
Inclination at 2:00 PM = 90 degrees - 0 degrees + (15 degrees/hour and a half) * 1.5 hours
= 90 degrees + 15 degrees
= 105 degrees
Therefore, the inclination of the sun at 2:00 PM, with respect to the horizontal, is 105 degrees.