Question

1. After running, Maggie is 3 miles east of her starting point, and 4 miles north of her starting point. What angle could represent her direction of travel?​

Answer 1

The angle is 53.13 degrees

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