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Tammy is mountain climbing with Nicole and just climbed an 8 meter rock face Nicole is standing 8 meters away from the bottom cliff looking up at Tammy . How far away are Tammy and Nicole

User Pcarvalho
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Answer:

8√2 ≈ 11.31 meters

Explanation:

The straight-line distance is the hypotenuse of an isosceles right triangle with legs 8 meters. So, the distance is 8√2 meters, about 11.31 meters.

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Of course, you know that a right triangle with legs 1 and 1 has a hypotenuse of ...

√(1² +1²) = √2 . . . . . given by the Pythagorean theorem

Scaling this by a factor of 8 meters gives you legs of 8 meters and a hypotenuse of 8√2 meters.

User Paul Leclercq
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