The man's path can be modeled by a right triangle. The hypotenuse of the triangle represents the straight-line distance between his starting point and his ending point.
The length of one leg is 4 miles, which is the distance he walks south.
The length of the other leg is 3 miles, which is the distance he walks north.
We can use the Pythagorean theorem to find the length of the hypotenuse, which is the maximum distance he can be from where he started.
The Pythagorean theorem states that: a2+b2=c2, where:
a is the length of one leg of the right triangle
b is the length of the other leg of the right triangle
c is the length of the hypotenuse (the straight-line distance between the starting and ending points)
In this case, we have:
a=4 miles
b=3 miles
Substituting these values into the Pythagorean theorem, we get:
42+32=c2
16+9=c2
25=c2
Taking the square root of both sides, we get:
c=5 miles
Therefore, the maximum distance the man can be from where he started is 5 miles.
@tapairportugal Hi, my final destination is Manchester with transit in Lisob 27th Jan, this form doesn't allow me to choose manchester, and also as I don't have a Portugal postcode I cant submit it. please advice ASAP