# A farmer wants to wall off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in the figure, where A = 4.99 km, B = 2.46 km, and C = 3.23 km and then correctly calculates the length and orientation of D?

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A farmer wants to wall off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in the figure, where A = 4.99 km, B = 2.46 km, and C = 3.23 km and then correctly calculates the length and orientation of the fourth side D.

A: What is the length of the vector D in kilometers?

B: What is the orientation of the vector D, in degrees W of S?

A farmer wants to wall off his four-sided plot of flat land. He measures the first three sides, shown as A, B, and C in the figure, where A = 4.99 km, B = 2.46 km, and C = 3.23 km and then correctly calculates the length and orientation of the fourth side D.

A: What is the length of the vector D in kilometers?

B: What is the orientation of the vector D, in degrees W of S?

Magnitude:

Orientation:

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To calculate the length and orientation of side D, you can use the law of cosines. Given sides A, B, and C and the angle between sides B and C, you can find the length of side D using the formula: ( D = \sqrt{A^2 + B^2 - 2AB \cos(\theta)} ), where θ is the angle between sides B and C. Then, to find the orientation of side D, you can use the law of sines or trigonometric functions to determine the angle between sides A and D.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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