To get to school, grayson usually walks 1.5 miles west and 0.8 miles north on the sidewalks. because he is in a hurry, he has decided to take a shortcut across the field. how many miles does grayson have to walk across the field?

Grayson has to walk 1.7 miles across the field.

Step-by-step explanation:

We have drawn the diagram for your reference.

Given:

Grayson usually walks 1.5 miles west on the side walks

According to Diagram we can say;

CA = 1.5 miles

Also Given:

Grayson also walks 0.8 miles north on the sidewalks

So According to Diagram we can say;

BA =0.8 miles

Now we need to find number of miles Grayson have to walk across the field.

According to diagram we can say;

We have to find CA.

Assuming the diagram  to be right angled triangle.

We can find CA using Pythagoras theorem.

Substituting the given values we get;

Taking square root on both side we get;

Hence Grayson has to walk 1.7 miles across the field.