To practice problem-solving strategy 3.2 relative velocity. an airplane pilot wishes to fly directly westward. according to the weather bureau, a wind of 75.0 km/hour is blowing southward. the speed of the plane relative to the air (called the "air speed") as measured by instruments aboard the plane is 310 km/hour . in which direction should the pilot head?

The pilot should head 13.6° north of west.

Why?

We can solve the problem by using trigonometric relations. Since there is a right triangle formed between the direction that the pilot wants to fly to and the wind's speed, we can use the following formula:

Now, substituting the given information and calculating, we have:

Hence, we have that the pilot should head to 13.6° north of west.

Have a nice day!

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