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