A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 84 m long and the next to be 102 m. These sides are represented as displacement vectors A and B in the figure. She then calculates the length of the third side C. What is her result (in meters)?
A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 84 m long and the next to be 102 m. These sides are represented as displacement vectors A and B in the figure. She then calculates the length of the third side C. What is her result (in meters)?
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A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side to be 84 m long and the next to be 102 m. These sides are represented as displacement vectors A and B in the figure. She then calculates the length of the third side C. What is her result (in meters)?
Transcribed Image Text:YA
C= ? m
A
A+B+C =0
0 = ?
A
21°
B
B 11°
W
X
N
to
E
Expert Solution
Introduction:
We are given a triangular land. The 3 sides of triangle are given by 3 vectors. We are given magnitude and direction of first 2 vectors. We resolve these vectors to respective components. The net x component of all the vectors will be zero and so will be net y component. We hence find angle and magnitude of 3rd vector.
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