geomentary question

Mathematics
Tutor: None Selected Time limit: 1 Day

a 4-ft post cast a 20-in shadow at the same time a nearby cell phone tower casts a 120- ft shadow. How tall is the cell phone tower? 

(Simplify your answer.)

Aug 3rd, 2015

Thank you for the opportunity to help you with your question!

in the above triangle ABC  AB = 4m and AC (shadow) = 20 m

similarly in triangle PQR  PQ (tower ) and QR = 120 its Shadow

since both the triangles are similar therefore ratio of their corresponding sides will be same ; as follows

PQ/QR = AB/AC

now we can substitute values as follows

PQ/120 = 4/20

solving we get PQ = 120/5 = 24 m (Answer)

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Aug 3rd, 2015

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