If you are 9 miles off course, have flown 95 miles, and need to fly 125 miles to converge at the destination, what is the total correction angle required?

To determine the total correction angle required, you can visualize the flight path and use trigonometry. The situation describes a right triangle where one leg is the 9 miles off course, and the other leg is the distance you've flown, which is 95 miles. The hypotenuse is the updated distance to the destination — in this case, it represents the complete route to the destination after correcting for the course deviation.

Next, you can calculate the total distance to the destination, which is 125 miles. With the known distances, you can apply the law of sines or tangents to find the correction angle necessary to return to the correct flight path.

Using the tangent function, the angle (α) can be found with the formula:

tan(α) = opposite / adjacent

Substituting in the values yields:

tan(α) = 9 / 95

Calculating this gives you the tangent of the angle, which you can then convert to degrees to find the correction angle.

Upon solving, the value you find approximates 10 degrees correction, confirming that adjusting your flight path using this angle will realign you with the correct heading toward your destination.

Establishing this correction angle is crucial for navigating accurately and ensuring a