SOLUTION: Some students found a pirate treasure map with the following clues: "Take ye 20 paces East of the old oak tree; then 15 North and 18 West. Walk 9 paces North and another 5 East and

Algebra ->  Surface-area -> SOLUTION: Some students found a pirate treasure map with the following clues: "Take ye 20 paces East of the old oak tree; then 15 North and 18 West. Walk 9 paces North and another 5 East and      Log On


   



Question 475695: Some students found a pirate treasure map with the following clues: "Take ye 20 paces East of the old oak tree; then 15 North and 18 West. Walk 9 paces North and another 5 East and here ye find me tresure." How many paces, in a straight line, was the treasure from the oak tree?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Some students found a pirate treasure map with the following clues:
"Take ye 20 paces East of the old oak tree; then 15 North and 18 West.
Walk 9 paces North and another 5 East and here ye find me treasure."
How many paces, in a straight line, was the treasure from the oak tree?
:
The best way to do this is to draw and label a near scale diagram of the given instructions'
Drop a perpendicular line from the treasure to the "20 paces east" line
:
Upon inspection of the your diagram it will become apparent that the straight
line from the treasure to the oak tree, is the hypotenuse
The perpendicular line is the sum of the two northern moves, 15+9 = 24 paces
the other leg is the dist from the oak tree to the perpendicular line which is
7 paces
:
h = sqrt%2824%5E2%2B7%5E2%29
h = 25 paces from the oak tree to the treasure