A tree is 3 ft tall casts a shadow that is 2 ft long. Find the length of the shadow that a 6 ft tree cast.
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The directrix of the parabola is
The parabola equation is given as:
A parabola is represented as:
By comparing both equations, we have:
4p = 1/4 ==> p = 1/16
-k= 3 ==> k = -3
The directrix is represented as:
y = k - p
So, we have:
Take the LCM
Evaluate
Hence, the directrix of the parabola is
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