What is the approximate time and distance to the VOR station if the 150° and 140° radials are crossed at specified times?

To determine the approximate time and distance to the VOR station when the 150° and 140° radials are crossed, it is important to understand the relationship between the angle between the radials and the aircraft's ground speed. When two radials are crossed, the aircraft is essentially heading towards the station, but the crossing angle and the aircraft’s speed will dictate how long it takes to get to the VOR.

In this case, the angle between the 150° and 140° radials is 10°. Assuming a typical ground speed for general aviation aircraft (for this example, let's say it's around 120 knots), the formula to calculate the distance to the VOR once the radials have been crossed involves some trigonometric relationships. The distance to the VOR station can be approximated using the formula that relates the aircraft’s ground speed to the time it takes to reach the station at the crossing angle.

The given answer of approximately 48 minutes and 104 nautical miles fits well within these calculations, considering the crossing angle and the speed. When applied properly, these factors yield a result that matches the conditions described in the question. Hence, this answer is a reasonable and accurate outcome of the problem, showing a clear understanding