1. You find a pirate map which describes the path to a buried treasure. Starting from an old oak tree in a field, the map instructs you to walk 16.0 meters due west, then turn in the direction 30.0 degrees north of east and walk an additional 21.0 meters. Finally, you need to walk 7.50 meters due south to where the treasure is buried. How far away from the base of the oak tree and in what direction is the treasure buried?

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1. You find a pirate map which describes the path to a buried treasure. Starting from an old oak tree
in a field, the map instructs you to walk 16.0 meters due west, then turn in the direction 30.0 degrees
north of east and walk an additional 21.0 meters. Finally, you need to walk 7.50 meters due south to
where the treasure is buried. How far away from the base of the oak tree and in what direction is the
treasure buried?
2. At some point as you are hiking near a lake, you determine that your campsite is 1.50 km away from
you in the direction 30.0° E of N. However, to get back to your campsite, you will need to walk around
the lake. You set off due north and walk for 600 m. You then turn in the direction 20.0° W of N and
walk an additional 1.20 km, before turning and walking directly to your campsite. How far and in
what direction was the last leg of your hike?
Transcribed Image Text:1. You find a pirate map which describes the path to a buried treasure. Starting from an old oak tree in a field, the map instructs you to walk 16.0 meters due west, then turn in the direction 30.0 degrees north of east and walk an additional 21.0 meters. Finally, you need to walk 7.50 meters due south to where the treasure is buried. How far away from the base of the oak tree and in what direction is the treasure buried? 2. At some point as you are hiking near a lake, you determine that your campsite is 1.50 km away from you in the direction 30.0° E of N. However, to get back to your campsite, you will need to walk around the lake. You set off due north and walk for 600 m. You then turn in the direction 20.0° W of N and walk an additional 1.20 km, before turning and walking directly to your campsite. How far and in what direction was the last leg of your hike?
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