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The Letchworth State Park website includes info about the various shelters at the following link: http://bit.ly/nWTWnx. If by trailside shelter, you mean the one by the park's Trailside Lodge, it's exact latitude-longitude coordinates are: 42.59154305292346, -78.03694180127593 (you can search for it in Google Earth). The shelter is not by the falls or canyon rim. You should give the park a call if you require more specific information.
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