Answer: He have traveled 9.2 miles towards the north.
Step-by-step explanation:
Since we have given that
Distance between mason from home = 11 miles
Distance he traveled due west = 6 miles
We need to find the distance he traveled due north .
since it forms right angled triangle.
So, by applying "Pythagorus theorem", we get that
[tex]H^2=B^2+P^2\\\\11^2=6^2+P^2\\\\121=36+P^2\\\\121-36=P^2\\\\85=P^2\\\\\sqrt{85}=P\\\\P=9.2\ miles[/tex]
Hence, he have traveled 9.2 miles towards the north.
