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Vinvika [58]
3 years ago
14

Jack and Jill start driving from the same location. Jack drives 30 miles south while Jill drives west. If Jack and Jill are 78 m

iles apart when they stop, how many miles west did Jill drive? Show all work in solving the problem.
Mathematics
1 answer:
arsen [322]3 years ago
5 0

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

OB = 30 --- Jack

AB = 78 -- Distance between them

Required

Find OA; Jack's distance

To do this, we make use of Pythagoras theorem

AB^2 = OA^2 + OB^2

This gives:

78^2 = OA^2 + 30^2

6084 = OA^2 + 900

Subtract 900 from both sides

OA^2=  6084 - 900

OA^2=  5184

Take square roots

OA = \sqrt{5184}

OA = 72

<em>Hence, Jill drove 72 miles</em>

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