SOLUTION: A tree is on a bearing S36degreesW from a point X and S78degreesE from a point Y. If X is 200m due east of Y, calculate distance of the tree from Y to the nearest metre. (plot the

Algebra ->  Length-and-distance -> SOLUTION: A tree is on a bearing S36degreesW from a point X and S78degreesE from a point Y. If X is 200m due east of Y, calculate distance of the tree from Y to the nearest metre. (plot the       Log On


   



Question 1145810: A tree is on a bearing S36degreesW from a point X and S78degreesE from a point Y. If X is 200m due east of Y, calculate distance of the tree from Y to the nearest metre. (plot the diagram and use T to represent the position of the tree)
Answer by Alan3354(69443) About Me  (Show Source):
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A tree is on a bearing S36degreesW from a point X and S78degreesE from a point Y. If X is 200m due east of Y, calculate distance of the tree from Y to the nearest metre. (plot the diagram and use T to represent the position of the tree)
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The X-Y side is 200 meters
The inside angle at Y is 12 degs
The inside angle at X is 36 degs
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The 3rd angle at the tree is 132 degs
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Use the Law of Sines
YT/sin(36) = 200/sin(132)