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A bird flies 100m due east from a tree then 200m northeast What is the birds net displacement?
Wiki User
∙ 14y ago
The net displacement of the bird (i.e., the shortest distance from the tree to the last location of the bird) is 147.3626m. A more direct method of computation is by constructing a single triangle and the use of the formula aÂÂ2 = b2 + c2 - (2bc CosA), where a is the unknown side, b & c are the given sides and CosA is the Cosine of the included angle A between sides b & c. In this problem, a is the unknown displacement, b is the 1st 100m route, c is the 2nd 200m route and A is 45degrees based on the direction of side c which is North45dWest or simply Northwest. Note: Had the direction of c been Northeast, the net displacement would have been 279.7933m.
The above answer can be counterchecked by plotting to scale the triangle in a paper (preferably graphing paper) and measure the actual length of side a.
A more simple method of computation without using the Cosine function is by way of 2 or 3 right triangles and utilizing the properties of right triangles. But this requires illustrative drawings here to be fully understood.
by Philip Ruyeras
Wiki User
∙ 14y ago
Wiki User
∙ 14y agoAnswer: 141.4m
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