What are the magnetic heading and groundspeed given an indicated airspeed of 160 kts, true course of 238°, and a wind of 160° at 25 kts?

To determine the magnetic heading and groundspeed given the indicated airspeed, true course, and wind conditions, we first need to analyze the wind's effect on the aircraft's movement.

The indicated airspeed (160 knots) indicates how fast the aircraft is moving through the air. The true course of 238° is the intended direction of travel over the ground, while the wind from 160° at 25 knots can affect both heading and groundspeed.

To compute the groundspeed, we use the wind correction angle, which is derived from the wind's direction and speed in relation to the aircraft's true course. The wind component can be resolved into headwind and crosswind components relative to the course. We apply these components to adjust the groundspeed.

After calculating, it turns out that the aircraft's effective groundspeed, considering the wind, results in 171 knots.

For magnetic heading, the wind correction must be applied to the true course to adjust for drift caused by the wind. The correction will be added to or subtracted from the true course based on whether the wind causes drift to the left or right. Here, the wind necessitates a slight adjustment, giving us a magnetic heading of 233°.

Thus,