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8 votes
8 votes
8. Su, who is 5 feet tall, is standing at point D in the drawing. The top of her head is at point E. A tree yard is at point B with the top of the tree at point C. Su stands so her shadow meets the end of the t shadow at point A. What is the length of side BC? C С + E 5 ft А 8 ft D 24 ft A) 20 feet B 15 fut B C) 22 feet D) 18 feet

User Pavel Polivka
by
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1 Answer

14 votes
14 votes

Step-by-step explanation:

We would be applying similar triangles theorem.

If you check the image, there is a small triangle and a big triangle

For similar triangles, the ratio of the corresponding sides are equal.

Trianglke AEB is similar to triangle ECB

AD corresponds to AB

ED corresponds to CB

AD/AB = ED/CB

AD = 8 ft,

AB = AD + DB = 8+24 = 32

ED = 5 ft

CB = ?

User Firstresponder
by
2.9k points
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