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 Scenario 2 for the Pythagorean Theorem

Angel and Renee have spent the afternoon at the park. Renee mentions that she is getting hungry and wants to get a snow cone from the snow cone stand. Angel is also hungry and wants a snow cone. They both noticed that the stand was off to the distance.

Angel and Renee

As Angel and Renee put their stuff together, they were getting hungrier. Both of them want to get to the snow cone stand as soon as they can. Renee wants to walk directly to the snow cone stand. Angel says, “we walk faster on the street then in the grass, so, I think we should walk directly to the street, and then walk on the street to the snow cone stand. Remember to round all your answers to the nearest 10th place.

Walking Speed Running Speed Grass 2 feet per second 4 feet per second Street 6 feet per second 12 feet per second

Snow  Cone  Stand  457.4  feet      

287.2  feet      

Grass  

 

Grass  

 

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Remember to round to the nearest 10ths

1a) If they choose Angel’s route, how long will it take for them to walk directly through the grass?

1b) How long will it take to walk from there to the snow cone stand on the street?

2) Following Angel’s route, what is the total time it will take them to get to the snow cone stand?

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3) If Angel and Renee decided to follow Renee’s plan to walk directly to the snow cone stand, how long will it take them to get there? Include all necessary work to support you answer and round your answers to the nearest tenth, when necessary.

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4) If Angel and Renee decided to run instead, whose path is the fastest way to get to the snow cone stand? Justify you reasoning and include all necessary work to support your answer and round to the nearest tenth when necessary.

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5) If the snow cone stand is moved 100 feet closer on the street, which route is the fastest while walking? Include all necessary work to support your answer and round to the nearest tenth when necessary.

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6) The snow cone stand is moved back to its original location. Angel and Renee decide to run around a tree one more time before running to the snow cone stand and going to get a snow cone. If it took 400 seconds to run diagonally from the tree to the snow cone stand, how far were their picnic basket be from the tree? Include all necessary work to support your answer and round to the nearest tenth when necessary.

Picnic  Basket