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Mathematics, 20.02.2020 01:01 lizzyhearts

Lucy has two star systems left to visit on her voyage, but her ship is running low on fuel. The first system, KA-7777, is 1200120012001200 light years (l. y.)(\text{l. y.})(l. y.)left parenthesis, start text, l, point, y, point, end text, right parenthesis away while the second system, KA-11111111, is 1700 l. y.1700\text{ l. y.}1700 l. y.1700, start text, space, l, point, y, point, end text.

Her top priority is to visit star system KA-7777. To determine if she'll also be able to visit KA-11111111, she must find the distance between KA-7777 and KA-11111111.

If Lucy sees an angle of 52∘52^\circ52∘52, degrees between KA-7777 and KA-11111111, how far are KA-7777 and KA-11111111 apart?

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