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# Two hikers leave the same tent at a campground and go separate ways. One hiker walks 8 miles directly south to Ashville, and the

## Two hikers leave the same tent at a campground and go separate ways. One hiker walks 8 miles directly south to Ashville, and the other hiker walks 14 miles directly northwest (i.e., N45W) to Bellville. (Assume that the terrain is flat.) How far apart are Ashville and Bellville (by the most direct route)? Show work. (You may find it very helpful to draw a picture, but you do not need to submit it.) Round your answer to the nearest tenth of a mile. 9. (10 pts) An airplane proceeds at a bearing of $30E, flying at 540 miles per hour. (no explanations required) (a) State the angle in standard position which corresponds to the bearing S30E. (b) Find the easterly and southerly components the airplane's velocity. That is, find the component form of the vector which has a magnitude of 540 and makes the angle with the positive x-axis. (Use the value of you stated in part (a).) State the exact values and also give approximations to the nearest mile per hour. Let (4,2) and w = (1, -3) (a) Find 70 - 3w and state the result in component form.

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