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Three baseball players are playing catch. Eli is $15$ feet south of Alexandra and $20$ feet west of Matt. How far does Alexandra need to throw the ball to get it to Matt? $\newline$ $\_\_\_\_$ feet

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Pythagorean theorem

Full solution

Q. Three baseball players are playing catch. Eli is

15

feet south of Alexandra and

20

feet west of Matt. How far does Alexandra need to throw the ball to get it to Matt?

\newline

\_\_\_\_

feet

Form Right Triangle: Eli is $15$ feet south of Alexandra and $20$ feet west of Matt, so we can form a right triangle with Eli's position to Alexandra and Matt.
Use Pythagorean Theorem: We use the Pythagorean theorem to find the distance Alexandra needs to throw the ball to Matt. Let's call this distance $d$ .
Calculate Distance: According to the Pythagorean theorem, we have: $d^2 = 15^2 + 20^2$ .
Solve for $d$ : Now we calculate: $d^2 = 225 + 400$ .
Add Distances: Adding those together gives us: $d^2 = 625$ .
Take Square Root: Taking the square root of both sides to solve for $d$ , we get: $d = \sqrt{625}$ .
Final Calculation: Calculating the square root, we find: $d = \sqrt{25}$ .

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