Questions: shape of a parabola. The reflector and a cross section are shown below. Solar reflector Cross sect by the equation h=1/24 d^2, where d is the distance, in inches (in.), from the height, in inches, of the reflector at its highest point?

shape of a parabola. The reflector and a cross section are shown below. Solar reflector Cross sect by the equation h=1/24 d^2, where d is the distance, in inches (in.), from the height, in inches, of the reflector at its highest point?
Transcript text: shape of a parabola. The reflector and a cross section are shown below. Solar reflector Cross sect by the equation $h=\frac{1}{24} d^{2}$, where $d$ is the distance, in inches (in.), from $t$ eight, in inches, of the reflector at its highest point?
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Solution

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Solution Steps

Step 1: Identify the given equation

The given equation is \( h = \frac{1}{24} d^2 \), where \( h \) is the height in inches and \( d \) is the distance in inches from the center.

Step 2: Determine the highest point

The highest point of the reflector is at the vertex of the parabola. For the given equation, the vertex is at \( d = 0 \).

Step 3: Calculate the height at the vertex

Substitute \( d = 0 \) into the equation \( h = \frac{1}{24} d^2 \): \[ h = \frac{1}{24} (0)^2 = 0 \]

Final Answer

The height of the reflector at its highest point is 0 inches.

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