b. Whatare the coordinatesof Cindy'sand Mari’s house?c. Use the distanceformulato find the distancebetween- Supposea camperis standing100 metersnorthof a river that runs east-westin a perfectlystraightline
(we haveto makesomeassumptionsfor geometricmodeling!).Her tent is 25 metersnorthof the river, but
300 metersdownstream.See the diagrambelow).
The camperseesthat her tent has caughtfire! Luckilyshe is carryinga bucketso she can get waterfrom
the river to dousethe flames.The camperwill run from her currentpositionto the river, pick up a bucketof
water, and then run to her tent to dousethe flames(see the blue line in the diagram).But how far alongthe
river shouldshe run (distance in the diagram)to pick up the bucketof waterif she wantsto minimizethe
total distanceshe runs?Solvethis by any meansyou see fit—usea scalemodel,the distanceformula,or
someothergeometricmethod.
- Doesit makesensefor the camperin problem7 to wantto minimizethe total distanceshe runs?Make
an argumentfor or againstthis assumption.(Notethat in real-lifeproblemsolvingfindingthe “best”answer
is not alwayssimple!).
Answers