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January 20th, 2017, 05:38 PM   #1
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Pythagoras (Help)

A baseball infield is a square, each side measuring 80m. To the nearest metre what is the distance from home plate to second base?

so I did,

x = 80msquared + 80msquared = 160 + 160 = 320 then square root 320 which is 17.88854382 to place should I round it too? no idea is it 17.88?

Thank You.

PS: what is leg length?

Last edited by ghira001; January 20th, 2017 at 06:09 PM. Reason: Detailing
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January 20th, 2017, 06:53 PM   #2
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$\displaystyle \begin{align*} 80^2 = 6400 \end{align*}$, not 160...
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January 20th, 2017, 08:28 PM   #3
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The square root of 21800 is 113.1..., which is 113 after rounding.
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January 20th, 2017, 08:43 PM   #4
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Hate to be pedantic at a moment like this, but the distance between the bases is 90 feet. That's 27 point something meters. Not even remotely 80. I know it's irrelevant to the question but still, numbers used in problems should be reasonably accurate if they claim to be about something in the real world. Think how big a baseball field would be if it's 80 meters between the bases. That's 320 meters around, almost a fifth of a mile.

https://en.wikipedia.org/wiki/Baseball_field
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January 21st, 2017, 02:05 PM   #5
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Quote:
Originally Posted by ghira001 View Post
x = 80msquared + 80msquared = 160 + 160 = 320 then square root 320 which is 17.88854382
Since we're being pedantic I'm going to mention one of my pet peeves. The above equation is not an equation for x. The correct statement (not in LaTex) would be
x^2 = 80msquared + 80msquared

Then you can take your square root at the end.

The reason I mention this is that if the grader can't read it, many mark it wrong. I always drilled my students to write the correct statements.

-Dan
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January 21st, 2017, 06:10 PM   #6
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Quote:
Originally Posted by topsquark View Post
Since we're being pedantic I'm going to mention one of my pet peeves. The above equation is not an equation for x. The correct statement (not in LaTex) would be
x^2 = 80msquared + 80msquared

Then you can take your square root at the end.

The reason I mention this is that if the grader can't read it, many mark it wrong. I always drilled my students to write the correct statements.

-Dan
Technically it should be x^2 = (80m)squared + (80m)squared, as it appears that you are writing "80 square metres" the other way...
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