Question

PLEASE HELP!!!!! A satellite telescope has a parabolic dish. Satellite signals are collected at the focal point (focus) of the

Answer 1

The dish illustrates operations on a parabola.

The depth of the parabolish dish is 160 feet.

The bowl is said to be a parabola.

So, we have:

$\mathbf{(x -h)^2 = 4p(y - k)}$

Where:

$\mathbf{Focus: p = 40}$

$\mathbf{Vertex:(h,k) = (0,0)}$

From the question, the diameter is 160 feet.

So, the radius (r) is:

$\mathbf{r = \frac{160}{2} = 80}$

So, the coordinate of the depth of the parabola would be:

$\mathbf{(x,y) = (60 + 100,y)}$

$\mathbf{(x,y) = (160,y)}$

Substitute these values in $\mathbf{(x -h)^2 = 4p(y - k)}$

So, we have:

$\mathbf{(160 - 0)^2 = 4 \times 40 \times (y -0)}$

$\mathbf{160^2 = 160y}$

Divide both sides by 160

$\mathbf{160 = y}$

Rewrite as:

$\mathbf{y = 160 }$

Hence, the depth of the parabolish dish is 160 feet.

Read more about parabolas at:

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