Question

A privet plane is traveling due east at a rate of 150 mph. A south wind is blowing 50 mph. What is the actual velocity of the plane?

A. 141 mph
B. 158 mph
C. 172 mph
D. 200 mph

Answer 1

158 mph is correct

Step-by-step explanation:

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Answer 2

So we want to know what is the velocity of the private plane that is traveling east with velocity ve=150 mph and if the wind is blowing west with velocity vw=50 mph. So the overall velocity is v=sqrt(ve^2 + vw^2). Now we input the numbers: v=sqrt(150^2 + 50^2)=sqrt(22500+2500=sqrt(25000)=158.11 mph. So the correct answer is B. 158 mph.