Determine the maximum wind velocity for a 45° crosswind if the maximum crosswind component for the airplane is 25 knots.

To determine the maximum wind velocity for a 45° crosswind when the maximum crosswind component is 25 knots, it’s important to understand the relationship between the wind velocity and its components. When dealing with a crosswind at an angle, you can use the sine function to find the magnitude of the wind velocity.

For a wind coming in at a 45° angle to the runway, the crosswind component is calculated as follows:

Crosswind Component = Wind Velocity × sin(Angle)

Given that the maximum crosswind component is 25 knots, you can rearrange the formula to solve for the wind velocity:

Wind Velocity = Crosswind Component / sin(Angle)

Substituting the values:

Wind Velocity = 25 knots / sin(45°)

Since sin(45°) is approximately 0.707, the calculation becomes:

Wind Velocity = 25 knots / 0.707 ≈ 35.4 knots

Rounding down for practical purposes in aviation operations, the wind velocity that corresponds to a 25-knot crosswind component at a 45-degree angle is about 35 knots.

Thus, the correct answer indicates that a maximum wind velocity of 35 knots will produce the desired crosswind component of 25