Question: Near what trail is a lake Rangeley Lake  flows into?

Context paragraphs:
Rangeley Lake: Rangeley Lake is located in Franklin County, Maine in the United States.  It is fed by several streams.  Its waters flow out from the lake's northwestern end into the short Rangeley River, then into Mooselookmeguntic Lake, and ultimately into the Androscoggin River, Merrymeeting Bay, the lower Kennebec River, the Gulf of Maine and the Atlantic Ocean.

Churchill Lake: Churchill Lake is a glacial lake in north west Saskatchewan, Canada.  Frobisher Lake flows in from the north while Peter Pond Lake flows in from the east through the Kisis Channel.  Highway 155 crosses this channel at the village of Buffalo Narrows .

Rangeley Lake Seaplane Base: Rangeley Lake Seaplane Base (FAA LID: M57) is a privately owned, public use seaplane base on Rangeley Lake, located two nautical miles (4 km) north of the central business district of Rangeley, a town in Franklin County, Maine, United States.

Oquossoc, Maine: Oquossoc is an unincorporated village in the town of Rangeley, Franklin County, Maine, United States.  The community is located at the junction of Maine State Route 4 and Maine State Route 17 at the northwest tip of Rangeley Lake.  Oquossoc has a post office with ZIP code 04964, which opened on December 17, 1902.

Grass River (Michigan): The Grass River is a 2.3 mi river in Antrim County in the U.S. state of Michigan.  It is part of the Elk River Chain of Lakes Watershed that begins in northern Antrim County with Intermediate Lake, which is connected by the Intermediate River with Lake Bellaire.  The Grass River flows from Lake Bellaire into Clam Lake, which in turn drains into Torch Lake via the short Clam River.  Torch Lake itself is drained by the Torch River, which flows into Lake Skegemog, which opens into Elk Lake.  Elk Lake flows into the east arm of Grand Traverse Bay at Elk Rapids.

Rangeley Lake State Park: Rangeley Lake State Park is a public recreation area occupying 870 acre on the southern shore of Rangeley Lake in Franklin County, Maine.  The state park is located partly in the town of Rangeley and partly in Rangeley Plantation.  It is managed by the Maine Department of Agriculture, Conservation and Forestry.

Mud Lake (Jefferson County, New York): Mud Lake is located by Redwood, New York.  The water from adjacent Crystal Lake flows into Mud Lake and the outlet flows into Butterfield Lake.  Fish species present in the lake are northern pike, yellow perch, brown bullhead, and bluegill.  The outlet of the lake flows into Butterfield Lake.  There is only carry-down boat access on this lake.

Rapid River (Maine): Rapid River is a 6.0 mi river in the northwestern portion of the US state of Maine flowing from Lower Richardson Lake to Umbagog Lake.  Despite its short length, it forms the end of a major portion of the Umbagog Lake and Androscoggin River watersheds.  Much of this watershed is covered by (from downstream to upstream) Lower and Upper Richardson Lakes, Mooselookmeguntic Lake, Cupsuptic Lake and Rangeley Lake.  The major tributaries of this system are the Cupsuptic, Kennebago and Rangeley rivers, all of which flow into Cupsuptic Lake.

Mooselookmeguntic Lake: Mooselookmeguntic Lake is located in Franklin County and Oxford County, Maine, in the United States.  It is part of the Androscoggin River watershed.  It is located in the western part of Maine, near the border with the state of New Hampshire and the Canadian province of Quebec.  The lake is just a few miles from the Appalachian Trail.

Rangeley River: The Rangeley River is located in Franklin County, Maine, in the United States.  It is only about a mile long, connecting the outlet of Rangeley Lake with Mooselookmeguntic Lake.

Supporting paragraphs: Rangeley Lake Mooselookmeguntic Lake
Answer: Appalachian Trail.