Answer:
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
