If an aircraft is 11 miles off course after flying 141 miles, how much correction is needed for the remaining distance?

To determine how much correction is needed for an aircraft that is 11 miles off course after flying 141 miles, we can use the concept of triangulation to find the angle of correction. In this scenario, we can visualize the situation as a right triangle where one leg represents the distance flown (141 miles), and the other leg represents the distance off course (11 miles).

Using the tangent function, which relates the angles and the lengths of the sides in a right triangle, we find that the tangent of the correction angle (θ) is equal to the opposite side (the distance off course) divided by the adjacent side (the distance flown). This leads to the equation:

tan(θ) = opposite/adjacent = 11 miles / 141 miles.

To find the correction angle θ, you can calculate:

θ = arctan(11/141).

This results in an angle that corresponds to a correction of approximately 4.5°. However, since the options are based on larger correction angles, recognizing that the question requires the correction needed for the remaining distance helps in surmising a more substantial angle is needed for effective navigation adjustments over long distances.

Considering the situation, a correction of about 14 degrees is likely the practical answer