Aprivate plane is traveling due east at a rate of 155 mph. a south wind is blowing 35 mph. what is the actual velocity of the plane?

158.9 mph E 12.7° S

Step-by-step explanation:

Since the components of the motion are perpendicular to each other then magnitude of the resultant can be found using the Pythagorean theorem:

|v| = √(155^2 +35^2) ≈ 158.9 . . . . mph

The angle can be found using the tangent relationship:

tan = opposite/adjacent

The angle south of east will be

angle = arctan(35/155) ≈ 12.7°

The velocity vector can be described by ...

158.9 mph E 12.7° S

As a bearing, the vector might be described as either of ...

• 158.9 mph at 102.7°

• 158.9 mph S 77.3° E

answer: 25 is the correct answer

step-by-step explanation:

squares, rhombus, rectangles