Question

A breeder want to wall off his four-sided plot of flat land. He measures the first three sides, A, B, and C. A=4.75km, B=2.29km, and C=2.9km. What is the length of the vector D in kilometers?

Answer 1

Answer on Question #73432-Physics-Other

A breeder want to wall off his four-sided plot of flat land. He measures the first three sides, A, B, and C. A=4.75km, B=2.29km, and C=2.9km. What is the length of the vector D in kilometers?

Solution

$$D _ {x} = - \left(A _ {x} + B _ {x} + C _ {x}\right) = - (4. 7 5 \cos 7. 5 {}^ {\circ} - 2. 2 9 \sin 1 6 {}^ {\circ} - 2. 9 \cos 1 9 {}^ {\circ}) = - 1. 3 3 6 k m$$ $$D _ {y} = - \left(A _ {y} + B _ {y} + C _ {y}\right) = - (- 4. 7 5 \sin 7. 5 {}^ {\circ} + 2. 2 9 \cos 1 6 {}^ {\circ} + 2. 9 \sin 1 9 {}^ {\circ}) = - 2. 5 2 5 k m$$

The length of the vector D is

$$D = \sqrt {(- 1. 3 3 6) ^ {2} + (- 2. 5 2 5) ^ {2}} = 2. 8 6 k m.$$

Answer: $2.86\mathrm{km}$

Answer provided by https://www.AssignmentExpert.com