Mathematics, 12.07.2019 18:00 def88
Aflagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the pole. the distance between the points where the wires are fixed to the ground is equal to the length of one guy wire. how tall is the flagpole (to the nearest inch)?
Answers: 1
ft. 
and 
are congruent to each other, so 
, using Pythagorean theorem......![AB^2+BD^2= AD^2\\ \\ x^2+[\frac{1}{2}(x+5)]^2= (x+5)^2\\ \\ x^2+ \frac{1}{4}(x+5)^2 = (x+5)^2\\ \\ 4x^2+(x+5)^2= 4(x+5)^2\\ \\ 4x^2= 3(x+5)^2\\ \\ 4x^2=3(x^2+10x+25)\\ \\ 4x^2-3x^2-30x-75=0\\ \\ x^2-30x-75=0](/tpl/images/0081/8074/646f1.png)
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Aflagpole is secured on opposite sides by two guy wires, each of which is 5 ft longer than the pole....
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