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A solar fire starter is designed so that its cross-sections are in the shape of a parabola. Given that the diameter of the solar fire starter at its opening is 24 centimeters and the igniter is located 9 centimeters from the base along the axis of symmetry, what is the depth of the fire starter

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okpalawalter8

Answer:

[tex]x=0.04m[/tex]

Step-by-step explanation:

From the question we are told that:

Diameter [tex]d=24cm[/tex]

Radius [tex]r=24/2=>12cm[/tex]

Igniter distance [tex]d_g=9cm[/tex]

Generally the equation for depth  is mathematically given by

 [tex]r^2=4d_gx[/tex]

Therefore

 [tex]x=\frac{r^2}{4d_g}[/tex]

 [tex]x=\frac{12^2}{4*9}[/tex]

 [tex]x=4cm[/tex]

 [tex]x=0.04m[/tex]

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