Course and Ground Speed (Navigation problem)

1. The problem statement, all variables and given/known data

A plane flies in the direction 120 degrees with an air speed of 300mph. The wind is blowing north to south at 40mph. Find the course and ground speed of the plane.

2. Relevant equations

3. The attempt at a solution

I attempted this problem, but i still cannot figure out how we get the second angle?
Have you drawn a picture?
Do you know how to decompose vectors into their components? If you don't know how to work with vectors, your picture should help you get the largest angle in the triangle formed by the plane's direction vector and the wind's vector. You know two of the sides of the triangle and the angle between them, so you can use the law of cosines to find the third side of the triangle. After you have found it, you can use the law of sines to find one of the remaining angles in the triangle.
Draw the vectors as suggested. The final velocity of the airplane is the sum of the two vectors.

The Physics Forums Way

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving