Yosief is 4 feet 9 inch boy. He stands in front of a tree and sees that it's shadow coincide with his. Yosief shadow measures 9 feet 6 inches. Yosief measures the distance between him and the tree to calculate its height, how does he do it?

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1 Answer
May 18, 2018

Using the properties of similar triangle we can write

height of the treeheight of the boy=shadow of the treeshadow of the boy

height of the tree4ft 9in=20ft 6 in+9ft 6in9ft 6in

height of the tree=30×12(4×12+9)9×12+6 in

height of the tree=360×57114 in=15ft