The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point A. What is the height of the tree? Show all your work, and make sure to include units in your final answer.

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1 Answer
Jim G.
Feb 12, 2018

#20" feet"#

Explanation:

#triangleAEF" and "triangleABC" are "color(blue)"similar"#

#rArrcolor(blue)"ratios of corresponding sides are equal"#

#rArr(EF)/(BC)=(AF)/(AC)#

#rArr5/x=7/28larrcolor(blue)"cross multiply"#

#rArr7x=5xx28#

#rArrx=(5xx28)/7=20#

#"height of tree "=20" feet"#

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