Will give 50 i don't understand! i just need this to give me a boost on my other questions.

a plane is flying due west at 350 miles/hour while a strong wind buffets it from the north at 45 miles/hour. what is the planes resultant velocity?

The answer to your question is: c = 353 mi/h; Ф = 7.3°

Explanation:

You can see the picture below

To solve this problem, just imagine a right rectangle which the legs is 350 mi/h and 45 mi/h and we are going to find the hypotenuse.

                    c² = a² + b²

                    c² = 350² + 45²

                   c² = 122500 + 2025

                   c² = 124525

                   c = 352.9 ≈ 353 mi/h

tanФ = 45/ 350

tan Ф = 0.12

Ф = 7.3°