finals review law of sines/cosines question 1

G

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a tv antenna sits on a roof. two 76 foot guide wires are positioned on opposite sides of the antenna. the angle of elevation each wire makes with the ground is 23 degrees. how far apart are the ends of the 2 guy wires?

the awnser i got was 139.92....please check this over and let me know if im right or close....
 
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