blackminaj22ouqjax
blackminaj22ouqjax blackminaj22ouqjax
  • 25-01-2018
  • Mathematics
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CAN SOMEONE HELP

A flight of stairs is supported by two columns, as shown in the diagram.





The distance from the base of the stairs to the taller column is______ feet.

CAN SOMEONE HELP A flight of stairs is supported by two columns as shown in the diagram The distance from the base of the stairs to the taller column is feet class=

Respuesta :

jimthompson5910 jimthompson5910
  • 25-01-2018
The two triangles are similar triangles. 
The smaller triangle has hypotenuse 6 and a horizontal leg of 4
The large triangle has hypotenuse 6+12=18 and a horizontal leg of x, where x is some number larger than 4

Because the triangles are similar, we can form the proportion below and solve for x
x/4 = 18/6
6*x = 4*18
6*x = 72
6*x/6 = 72/6
x = 12

Final Answer: 12

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jonesjainaisha jonesjainaisha
  • 30-01-2018
the answer to  this question is 12
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