
Directions: Carry the full calculator value until rounding the final answer.
1. 
To approximate the length of a swamp, a surveyor drives his ATV 300 meters from point A to point B, then turns 98º and drives 420 meters to point C. Find the length of the swamp, AC, to the nearest meter.
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2. 
A helicopter files 230 miles from point R to point P with a bearing of 75º. It then flies 215 miles from point P to point M with a bearing of 32º. Find the distance from point R to point M to the nearest tenth of a mile.
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3. 
Forces with magnitudes of 125 newtons and 280 newtons act on an object. The angle between the two forces is 47º. Find the magnitude of the resultant of these forces, to the nearest integer value.
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4. 
Soldiers are on a training mission on jungle survival. The squad travels from a temporary base (B) in a direction N 60º W to a swamp (S) and then S 40º W to a rest area (R) directly west of the base. The squad then returns the 8 direct miles from the rest area to the base. Find the distance from the base to the swamp, to the nearest tenth of a mile.


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5. 
Carl (C) pushes directly north on a boulder with a force of 400 newtons, while Jessica (J ) pushes directly west on the same boulder with a force of 200 newtons. Find the magnitude of the resultant vector, to the nearest integer.



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6. 
Two dogs are pulling on a toy with forces of 50 newtons and 30 newtons separated by 135º. Find the magnitude of the reluctant vector.





7. 
Harrison flies his plane from point A at a bearing of N 35º E, averaging 137 miles per hour for 4 hours to get to a local airport at point B. He then leaves that airport flying N 70º W averaging 134 miles per hour for 3 hours to arrive at another airport at point C. Find the direct distance from C to A to the nearest tenth of a mile.
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8. 
Two force vectors with magnitudes of 34 pounds and 68 pounds act on an object. If the angle between the force vectors is 76º, what is the magnitude of the resultant force, to the nearest tenth?

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