SOLUTION: Buried Treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. H
Question 148177: Buried Treasure. Ahmed has half of a treasure map, which indicates that the treasure is buried in the desert 2x + 6 paces from Castle Rock. Vanessa has the other half of the map. Her half indicates that to find the treasure, one must get to Castle Rock, walk x paces to the north, and then walk 2x + 4 paces to the east. If they share thier information, then they can find x and save a lot of digging. What is x? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! If I just know Ahmed's half, the treasure has to be at the outer
edge of a circle with center at Castle Rock and radius =
paces.
Vanessa's half says "walk x paces to the north, and then walk 2x + 4 paces to the east." But her instructions must put her on the edge of Ahmed's circle with
radius =
The radius and the North and South walks form a right triangle, so
subtract from both sides
subtract from both sides
subtract from both sides
now solve for answer reject this one (can't walk minus paces)
Now plug this into data given to check:
Ahmed's paces:
Vanessa's paces:
East:
North:
Now does right triangle check out?
OK
