Final answer:
The question is asking us to determine the earliest time one aircraft can pass a point given the headings and arrival time of another aircraft. Based on the given information, we can calculate that the second aircraft can pass the point at 0417 hrs.
Step-by-step explanation:
The subject of this question is Mathematics, specifically dealing with angles and time.
To answer the question, we have two aircraft. One is tracking at 030 degrees and reporting over a point at 0412 hours. The other aircraft is on a 100-degree heading and cannot pass this point before a certain time.
So, the question is asking us to determine the earliest time the second aircraft can pass the point on the assumption that both aircraft are traveling at the same speed.
To calculate this, we need to find the time it takes for the first aircraft to reach the point and then use that as a reference point for the second aircraft. Let's break it down:
- The first aircraft is traveling at 030 degrees and reaches the point at 0412 hours.
- The second aircraft is traveling at 100 degrees and cannot pass this point before a certain time.
- Since we know the first aircraft's arrival time, we need to find out how much time it would take for the second aircraft to reach the point if it were to travel at the same speed as the first aircraft.
Based on the given options:
- Option A) 0422 hrs: This is 10 minutes after the first aircraft's arrival time. So, the second aircraft would need to travel at a faster speed to reach the point before this time, which is not possible.
- Option B) 0427 hrs: This is 15 minutes after the first aircraft's arrival time. Again, the second aircraft would need to travel at a faster speed to reach the point before this time, which is not possible.
- Option C) 0417 hrs: This is 5 minutes before the first aircraft's arrival time. If the second aircraft travels at the same speed as the first aircraft, it can reach the point by this time. Therefore, Option C) 0417 hrs is the correct answer.