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jonathan3191
jonathan3191
15.12.2020 • 
Mathematics

Late one afternoon, while being chased by the Sheriff of Nottingham into an unfamiliar part of Sherwood Forest, Robin Hood and Little John found themselves trapped between a wide chasm and the approaching evil sheriff. Fortunately, the sign from the old collapsed bridge was still standing, for it gave Robin the information necessary to plan his escape. The sign said the chasm was 36 feet across. A large tree grew near the chasm. It was the only tree within 50 yards of the chasm. Robin quickly paced off the distance from the cliff edge to the tree and found that it was 24 feet. He noticed that the shadow cast by the tree stretched directly across the chasm and that the tip of the shadow just reached the opposite edge of the chasm. Robin hastily measured the shadow created by his 55-inch frame and found it to be 77 inches. Using this information, Robin calculated the height of the tree. What was the height of the tree, to the nearest foot? If Robin and John were to chop down the tree, would it be long enough to reach across the chasm? Was Robin Hood able to elude the Sheriff of Nottingham?

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