Rebecca, the navigator of a ship at sea, spots two lighthouses that she knows to be 2

Question:

Rebecca, the navigator of a ship at sea, spots two lighthouses that she knows to be 2 miles apart along a straight shoreline. She determines that the angles formed between two line-of-sight observations of the lighthouses and the line from the ship directly to shore are 12° and 30°. See the illustration.

(a) How far is the ship from lighthouse L₁?

(b) How far is the ship from lighthouse L₂?

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