Math 51: Project II
Triangles and Vectors
(24 points)
Requirements:
1. Typed
cover page with a title and your name(s).
2. Answer all questions, using complete sentences and showing all your work.
Points will be taken off if problems are not answered clearly.
3. You may work in groups of up to 3 people.
This project is due by
August 6
, at the beginning of class.
Late projects will not be accepted, under any circumstances.
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View Full DocumentPart I: Law of Sines and Law of Cosines Applications
1. Locating Lost Treasure
While scuba diving in the Mysterious Triangle in the Caribbean, a group of five
trigonometry students discovered a treasure map in a small watertight cask on a
pirate schooner that had sunk in 1747.
The map directed them to a small desert
island in the area.
The directions on the map read as follows:
•
From the tallest palm tree, sight the Great Falls.
Drop your eyes
vertically until you sight the base of the falls.
•
Turn 40º clockwise from that line and walk 70 paces to the hills.
•
From the hills, walk 50 paces back to the sight line between the
palm tree and the falls.
Dig there.
Upon reaching the island, the five students found the hills, the falls and the tallest palm
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 Spring '11
 jefferson
 Trigonometry, Angles, Pythagorean Theorem, Vectors, Leaning Tower of Pisa, Great Falls

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