What is the distance from the right center field fence to third base? Show all of your work and round
your answer to the nearest tenth of a foot​

What is the distance from the right center field fence to third base Show all of your work and roundyour answer to the nearest tenth of a foot class=

Respuesta :

Answer:

[tex]381.5\,\,\,ft[/tex]

Step-by-step explanation:

Given:  Figure

To find: distance from the right center field fence to third base

Solution:

In a right angled triangle,

using Pythagoras theorem, square of hypotenuse is equal to sum of squares of base and perpendicular.

In ΔBAC,

[tex]BC^2=AB^2+AC^2\\(392)^2=x^2+(90)^2\\153664=x^2+8100\\153664-8100=x^2\\145564=x^2\\\sqrt{145564}=x\\381.5\,\,\,ft=x[/tex]

So,

distance from the right center field fence to third base is 381.5 foot.