Answer:
The angle is 53.13 degrees
Step-by-step explanation:
Here, we want to calculate angle representing the direction of travel
From the question, she is 3 miles east and 4 miles north of her starting point
So the angle that represents her direction of travel will be that which makes a cut with the horizontal (the east direction)
Now, let us picture a right-angled triangle, with 3 miles direction being the adjacent and the 4 miles direction (facing the angle we want to calculate and is the opposite)
the trigonometric identity to use is the Tangent
Tan theta = 4/3
theta = arc tan (4/3)
theta = 53.13 degrees
