The distance of the receiver from the vertex.
It has been determined that the distance of the receiver from the vertex must be
Given:
A certain parabolic microphone has a reflector dish with a diameter of
Concept used:
The equation of the vertical parabola with vertex at origin is
The focus of this parabola is at
Calculation:
Let the vertex of the parabolic microphone be at the origin.
It is given that the reflector dish has a diameter of
Then, the end points of the diameter are of the form
Solving,
Then, the points
Put
Now, the focus of this parabola is at
So, the distance between the focus;
It is given that the receiver of the microphone is located at the focus of the reflector dish.
Thus, the distance of the receiver from the vertex must be
Conclusion:
It has been determined that the distance of the receiver from the vertex must be
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
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