00:01
Now, we're told that we have, you know, we have this baseball diamond here.
00:05
And the distance between the bases, which form, you know, basically we have a square.
00:11
The distance between the bases are 90 feet.
00:13
So we have 90 feet here.
00:16
The distance from the home plate to the pitcher's mound is 60 feet, six inches, or 60 .5 feet.
00:24
And they ask us, what are these distances here from the mound to each of the bases? so, well, we know this one, right, to home plate, but to each of these other, to the first base, to second and to third.
00:37
Well, clearly from symmetry, we know from the distance from the pitching mound to first, and the pitching amount to third is going to be the same.
00:46
And we know that this angle here, this bisects this 90 degree angle, so this is a 45 degree angle there.
00:54
So that means that this distance squared equals this distance square plus this distance, squared minus twice this distance times this distance times the cosine of that angle there...