There is a stretched steel cable between the 3 columns. The height of the first column is 4 m, the height of the second is 3.5 m. The distance between the first two columns is 2.5 m, the distance between the second and third is 5 m. The heels of all three pillars stand in one line. What is the height of the third column?

Correct answer:

c =  2.5 m

Step-by-step explanation:

a=4 m b=3.5 m x=2.5 m y=5 m  (ab):x=(bc):y  (ab)/x=(bc)/y (43.5)/2.5=(3.5c)/5  c=2.5=2.5 m  c=25=2.5   Verifying Solution:  k1=(ab)/x=(43.5)/2.5=51=0.2 k2=(bc)/y=(3.52.5)/5=51=0.2 k1=k2

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