From her house, meg must drive 8 miles due north to visit her aunt. from her house, she must drive 15 miles due east to visit her grandmother. which is the straight-line distance from meg's aunt's house to her grandmother's house?

The straight line distance is 17 miles from Meg's aunt's house to her grandmother's house.

Step-by-step explanation:

We have drawn the diagram for your reference.

Given:

Meg have to drive 8 miles due north to visit her aunt.

From diagram we can say;

BA = 8 miles

Also she has to drive 15 miles due east to visit her grandmother.

From diagram we can say;

BC = 15 miles

We need to find the straight-line distance from Meg's aunt's house to her grandmother's house i.e we need to find AC from diagram.

Now We can Assume it as a right angled triangle.

So Pythagoras theorem we can say that;

Now taking Square root on both side we get;

Hence The straight line distance is 17 miles from Meg's aunt's house to her grandmother's house.