Question

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​

Answer 1

`381.5\,\,\,ft`

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,

`BC^2=AB^2+AC^2\\(392)^2=x^2+(90)^2\\153664=x^2+8100\\153664-8100=x^2\\145564=x^2\\√(145564)=x\\381.5\,\,\,ft=x`

So,

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