Answer:
1533.8
Explanation:
To solve this problem, we can use the formula:
distance = speed × time
First, we need to convert the direction of 224° to a component of motion. We can do this using trigonometry:
cos(224°) = -0.766
sin(224°) = -0.643
The negative sign indicates that the plane is traveling south and west.
Next, we can calculate the distance traveled:
distance = speed × time
distance = 445 mph × 4.5 hours
distance = 2002.5 miles
Finally, we can calculate the distance west:
distance west = distance × cos(224°)
distance west = 2002.5 miles × (-0.766)
distance west = -1533.8 miles
We get a negative distance west because the plane is traveling west but also south, so we can say that the plane is 1533.8 miles west-southwest of Providence (rounded to the nearest tenth).