Answer: she is 8.06 miles from her starting point
Explanation:
The diagram in the attached photo describes Juliet's movement from her starting point to her current position.
A triangle ABC is formed
AB = distance that she walked towards west
BC = distance that she walked towards south
AC= x = distance that she is from her starting point
The diagram is a right angle triangle. So we can find the distance that she is from her starting point using Pythagoras theorem.
Hypotenuse^2 = opposite^2 + adjacent^2
Hypotenuse = x
Opposite = 7
Adjacent = 4
x^2 = 7^2 + 4^2
x^2 = 49 + 16 = 65
x = √65 = 8.06 miles