Question

Three baseball players are playing catch. Vondra is directly south of Mei and directly west of

Answer 1

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.