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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Answer 1 · 2018-05-18T10:17:15

Using the properties of similar triangle we can write

#"height of the tree"/"height of the boy"="shadow of the tree"/"shadow of the boy"#

#=>"height of the tree"/"4ft 9in"="20ft 6 in+9ft 6in"/"9ft 6in"#

#=>"height of the tree"="30×12(4×12+9)"/"9×12+6 "# in

#=>"height of the tree"="360×57"/"114 "# in=15ft