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Printjmc
geometry junior
Problem
What is the height of Jack's house, in feet, if the house casts a shadow 56 feet long at the same time a 21-foot tree casts a shadow that is 24 feet long? Express your answer to the nearest whole number.
Solution
The ratio of shadow lengths is .
This is the same as the ratio of actual heights, so if is the height of the house,
This is the same as the ratio of actual heights, so if is the height of the house,
Final answer
49