A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side A to be 87.9 m long and the next side B to be 116.7 m. These sides are represented as displacement vectors A from B in the Figure. The angle between A and positive x direction is 34.3, and the angle between B and positive y axis is 20.2. She then correctly calculates the length and orientation of the third side C. What is the magnitude of the vector C in unit of meters. Hint: Use a = 68.2 m, b = 108.5 m, t = 30.5 degrees and r = 27.8 degrees. Use law of Cosines to calculate magnitude of vector C and convert degrees to radians (they are numbers).
A new landowner has a triangular piece of flat land she wishes to fence. Starting at the west corner, she measures the first side A to be 87.9 m long and the next side B to be 116.7 m. These sides are represented as displacement vectors A from B in the Figure. The angle between A and positive x direction is 34.3, and the angle between B and positive y axis is 20.2. She then correctly calculates the length and orientation of the third side C. What is the magnitude of the vector C in unit of meters. Hint: Use a = 68.2 m, b = 108.5 m, t = 30.5 degrees and r = 27.8 degrees. Use law of Cosines to calculate magnitude of vector C and convert degrees to radians (they are numbers).
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 A to be 87.9 m long and the next side B to be 116.7 m. These sides are represented as displacement vectors A from B in the Figure. The angle between A and positive x direction is 34.3, and the angle between B and positive y axis is 20.2. She then correctly calculates the length and orientation of the third side C. What is the magnitude of the vector C in unit of meters.
Hint: Use a = 68.2 m, b = 108.5 m, t = 30.5 degrees and r = 27.8 degrees. Use law of Cosines to calculate magnitude of vector C and convert degrees to radians (they are numbers).
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