Naya Ironside is a Viking chieftain that is approaching the entrance of a river. The river is defended by guard towers on each riverbank. Naya Ironside's main shield maiden, Kiean the Cruel, notes that the two distances of each of the towers to the ship differ by 58m, and that from the ship's location the angle formed between those distances is 70°.
a) If the sum of the longer distance squared and the shorter distance squared is 38132m, how far apart are
the two towers from each other (how wide is the opening of the river) ?
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