Question

An elementary student who is 5 feet tall used ideas she learned in geometry to determine the height of a lamppost near her home. On a sunny day, she walks from the base of the lamppost until she notices that the tip of her shadow and the tip of the the lamppost's shadow end at the same point. Her brother than determines that she is 40 feet from the base of the lamppost at this point and that the length of her shadow is 8 feet long. How high is the lamppost? A. Clearly indicate your solution and show supporting work. (Attach work if needed). B. Provide an explanation of the thinking process you used in Part A. Bonus: You want to enlarge a picture by 20% but you mistakenly tell the copy machine to reduce the original image by 20%. By what percent do you now need to increase the reduced copy to produce a new image that is 20% larger than the original?

          An elementary student who is 5 feet tall used ideas she learned in geometry to determine the height of a lamppost near her home. On a sunny day, she walks from the base of the lamppost until she notices that the tip of her shadow and the tip of the the lamppost's shadow end at the same point. Her brother than determines that she is 40 feet from the base of the lamppost at this point and that the length of her shadow is 8 feet long. How high is the lamppost?
A. Clearly indicate your solution and show supporting work. (Attach work if needed).
B. Provide an explanation of the thinking process you used in Part A.
Bonus: You want to enlarge a picture by 20% but you mistakenly tell the copy machine to reduce the original image by 20%. By what percent do you now need to increase the reduced copy to produce a new image that is 20% larger than the original?

An elementary student who is 5 feet tall used ideas she learned in geometry to determine the height of a lamppost near her home. On a sunny day, she walks from the base of the lamppost until she notices that the tip of her shadow and the tip of the the lamppost's shadow end at the same point. Her brother than determines that she is 40 feet from the base of the lamppost at this point and that the length of her shadow is 8 feet long. How high is the lamppost?
A. Clearly indicate your solution and show supporting work. (Attach work if needed).
B. Provide an explanation of the thinking process you used in Part A.
Bonus: You want to enlarge a picture by 20% but you mistakenly tell the copy machine to reduce the original image by 20%. By what percent do you now need to increase the reduced copy to produce a new image that is 20% larger than the original?

Added by Anthony B.

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