At the local baseball diamond, the distance from home base to second base is 100 feet. Determine the distance from home base to first base. If Sammy hits a home run, then what is the distance that she has to run around the bases?

Respuesta :

Answer:

Therefore if Sammy hits a home run she has to run a distance of 565.5 feet around the bases.

Step-by-step explanation:

i) local baseball field is a diamond.

ii)distance from base to second base is 100 feet

iii) Therefore the distance from home to first base is also 100 feet

iv) distance from base to base [tex]= \sqrt{100^{2} + 100^{2} } = 100\sqrt{2} = 100\times1.414 = 141.4\\[/tex]

   since there are 4 bases the the perimeter of the diamond baseball field , that is the distance around the bases [tex]4 \times 141.4 = 565.5 feet[/tex]

Therefore if Sammy hits a home run she has to run a distance of 565.5 feet around the bases.

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