SOLUTION: The bearing of a school library from the sickbay is 310° from the commendants office 317m due east of sickbay, the bearing of the school library is 288°. How far is the library f

Algebra ->  Length-and-distance -> SOLUTION: The bearing of a school library from the sickbay is 310° from the commendants office 317m due east of sickbay, the bearing of the school library is 288°. How far is the library f      Log On


   



Question 1202303: The bearing of a school library from the sickbay is 310° from the commendants office 317m due east of sickbay, the bearing of the school library is 288°. How far is the library from the sickbay
Answer by Alan3354(69443) About Me  (Show Source):
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The bearing of a school library (L) from the sickbay (B) is 310°
From the commandants office (C) 317m due east of sickbay, the bearing of the school library is 288°.
How far is the library from the sickbay?
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Angle B = 140 degs
Angle C = 18 degs
Angle L = 22 degs
BC = 317 meters
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Use the Law of Sines:
LB/sin(18) = 317/sin(22)
LB = 317*sin(18)/sin(22) = ~ 261.5 meters