Problem 569
Posted: Sun Sep 18, 2016 5:11 pm
I worked this out by hand, but I can't seem to verify
"from the 9th mountain, he can see three peaks, those of the 5th, 7th and 8th mountain"
If, the mountain peaks were on a grid, then their coordinates would be :
9 - (430, 30)
8 - (328, 26)
7 - (238, 22)
5 - (100, 16)
The slope from 9th peak to 5th peak is (30 - 16) / (430 - 100) = 0.04242424242
But 9th to 8th peak is (30 - 26) / (430 - 328) = 0.03921568627
This means that 8th peak is blocking the view for 5th.
"from the 9th mountain, he can see three peaks, those of the 5th, 7th and 8th mountain"
If, the mountain peaks were on a grid, then their coordinates would be :
9 - (430, 30)
8 - (328, 26)
7 - (238, 22)
5 - (100, 16)
The slope from 9th peak to 5th peak is (30 - 16) / (430 - 100) = 0.04242424242
But 9th to 8th peak is (30 - 26) / (430 - 328) = 0.03921568627
This means that 8th peak is blocking the view for 5th.