Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

Jack and Jill start driving from the same location. Jack drives 30 miles south while Jill drives west. If Jack and Jill are 78 miles apart when they stop, how many miles west did Jill drive? Show all work in solving the problem.

Sagot :

MrRoyal

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

We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.