Question

Katie hikes 5 miles north, 7 miles east, and

then 3 miles north again. What number of
miles, measured in a straight line, is Katie
from her starting point?
(A) 83
(B) 10
(C) 113
(D) 13​

Answer 1

B is the closest answer

Step-by-step explanation:

It helps to draw it out to visualize on a grid. But to save time, she ends up traveling a total of 8 miles north and 7 miles east. These are the two legs of the right triangle. You are looking for the straight line she is from her starting point which is the hypotenuse. Use the Pythagorean Theorem, a^2+b^2=c^2

7^2+8^2=c^2

c= 10.63