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Madelyn is in a hot air balloon that has just taken off and is floating above its launching point. Eddie is standing on the ground, 6 meters away from the launching point. If Madelyn and Eddie are 9 meters apart, how high up is Madelyn? If necessary, round to the nearest tenth.
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clarch19

Answer:

8.9 meters

Step-by-step explanation:

this seems like a problem where you can use the pythagorean theorem:

you know one of the two legs (6m) and  the hypotenuse (9m), you must find the other leg

a^2 + 6^2 = 9^2

a^2 + 36 = 81

a^2 = 45

a = [tex]\sqrt{45}[/tex] or [tex]\sqrt{9}[/tex] · [tex]\sqrt{5}[/tex] which simplifies to be 3[tex]\sqrt{5}[/tex] or approx. 8.9 meters

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