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You and a friend throw snowballs at each other. You are 20 feet north and 15 feet east of your house. Your friend is 25 feet east and 10 feet north of your house. To the nearest tenth of a foot, how far apart are you and your friend?

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Answer:

They are [tex]10\sqrt{2}[/tex] feet apart.

Step-by-step explanation:

It is given that, You are 20 feet north from your house an your friend is 10 feet north of your house.

The distance between you two in the north-south direction is (20 - 10) = 10 feet.

Similarly, the distance between you two in the east-west direction is (25 - 15) = 10 feet.

The distance between you two is [tex]\sqrt{10^{2} + 10^{2} } = 10\sqrt{2}[/tex] feet.

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