Answer:
72 mles
Step-by-step explanation:
For better understanding, I'll make use of an attachment.
From the attachment,
O represents the start point
[tex]OB = 30[/tex] --- Jack
[tex]AB = 78[/tex] -- Distance between them
Required
Find OA; Jack's distance
To do this, we make use of Pythagoras theorem
[tex]AB^2 = OA^2 + OB^2[/tex]
This gives:
[tex]78^2 = OA^2 + 30^2[/tex]
[tex]6084 = OA^2 + 900[/tex]
Subtract 900 from both sides
[tex]OA^2= 6084 - 900[/tex]
[tex]OA^2= 5184[/tex]
Take square roots
[tex]OA = \sqrt{5184}[/tex]
[tex]OA = 72[/tex]
Hence, Jill drove 72 miles
