an airplane is flying at 350 km/h. after one hour, she notices that owing to strong winds, she is 48 km west of her intended flight path. at what angle to her intended flight path has she been flying

To determine the angle at which the airplane has been flying, we need to use trigonometry. We can create a right triangle using the north-south direction as the vertical leg and the west-east direction as the horizontal leg.

Let's break down the given information:
- The airplane is flying at a speed of 350 km/h, which represents the hypotenuse of the triangle.
- After one hour, the airplane is 48 km west of its intended flight path, which represents the horizontal leg.

Using this information, we can calculate the north-south or vertical leg of the right triangle.
- The airplane has been flying for one hour at a speed of 350 km/h, so the vertical leg will be 350 km high.

Now, we can apply the trigonometric function tangent (tan) to find the angle.

The tangent of an angle is equal to the length of the opposite side (north-south) divided by the length of the adjacent side (west-east). In our case, the opposite side is 350 km and the adjacent side is 48 km.

tan(angle) = opposite/adjacent
tan(angle) = 350/48

Using a calculator, we can find the inverse tangent (also known as arctan or tan^-1) of the resulting fraction to determine the angle.

angle = arctan(350/48)

Calculating this value, we find that the angle is approximately 78.53 degrees.

Therefore, the airplane has been flying at an angle of approximately 78.53 degrees to its intended flight path.

Cant determine: What if she had been flying (intended) due West, and she is west of that. The angle is zero to intended flight path.

You have to know intended flight path