You walk from point a 8 miles due north, then 5 miles dues east, and then 4 miles due north to point b. how far is point a from point b on a straight line?

Point A is miles far from point B.

Step-by-step explanation:

Draw a diagram by using the given information.

1. Move 8 units up to reach at point Q. (Walk from point A ,8 miles due north).

2. Move 5 units right to reach at point R. (5 miles dues east)

3. Move 4 units down to reach at point B. (4 miles due north to point B)

4. Drawn a line PB as shown below.

From the below figure it is clear that

AP = 8-4 = 4 miles

PB = QR = 5 miles

Using Pythagoras we get

Taking square root on both sides.

Therefore, point A is miles far from point B.