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.Com
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)   (Show Source): You can put this solution on YOUR website!
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?
---------------------
Angle B = 140 degs
Angle C = 18 degs
Angle L = 22 degs
BC = 317 meters
-----
Use the Law of Sines:
LB/sin(18) = 317/sin(22)
LB = 317*sin(18)/sin(22) = ~ 261.5 meters

RELATED QUESTIONS

A library is located 5 miles east of a school. A park is 3 miles east of the school and... (answered by jpvn2015)
The bearing of a house from a point A is 319º. From a point B, 317 m due east of A,... (answered by CPhill)
If you sail a ship due east for 50km, then turn and head due south for 80km, how far are... (answered by ankor@dixie-net.com)
From a ship 15.3 km away the bearing of the lighthouse is N52°50'W. The ship is sailing... (answered by Collinwilfixyouuprealnice)
A Tree is on bearing s36°w from a point x and s78° from a point y if x is 200m due east (answered by greenestamps)
Lucas sailed 11km due to south from P to Q, then sailed 16km due east to R. Find, correct (answered by Boreal)
a plane is flying due south at 310 miles per hour and the wind is blowing from east at 40 (answered by solver91311)
City a is 300m due east of city b.city c is 200m on a bearing of 125° from the city... (answered by ikleyn)
Town C is 9 miles due east of town D. Town E is 17 miles from town C at a bearing (from... (answered by TimothyLamb)