Three baseball players are playing catch. Vondra is directly south of Mei and directly west of Yoshi. Vondra and Yoshi are 8 meters ap

Question

Three baseball players are playing catch. Vondra is directly south of Mei and directly west of
Yoshi. Vondra and Yoshi are 8 meters apart and Yoshi and Mei are 10 meters apart. How farapart are Vondra and Mei?

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Quinn 2 weeks 2021-09-08T14:48:18+00:00 1 Answer 0

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    2021-09-08T14:49:36+00:00

    distance of Vondra & Mei is 6 meters.

    Step-by-step explanation:

    Here we have  , Three baseball players are playing catch. Vondra is directly south of Mei and directly west of  Yoshi. Vondra and Yoshi are 8 meters apart and Yoshi and Mei are 10 meters apart. Let’s analyze step by step:

    Vondra is directly south of Mei : Vondra & Mei , are south to each other.

    Vondra is directly west of  Yoshi: Vondra & Yoshi , are west to each other.

    Distance of Vondra & Mei = x = Perpendicular

    Distance of Yoshi and Mei = 10 m = Hypotenuse

    Distance of Vondra and Yoshi  = 8 m = base

    In order , to find distance of Vondra & Mei we use Pythagoras Theorem:

    10^{2} = x^{2} + 8^{2} \\10^{2} - 8^{2} = x^{2}\\100  - 64 = x^{2}\\x^{2} = 36\\x = 6m  , ∴ distance of Vondra & Mei is 6 meters.

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45:7+7-4:2-5:5*4+35:2 =? ( )