Trigonometria: The pendulum of a grandfather clock consists of a circular disc....
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What are your thoughts?
Please share your work with us ...even if you know it is wrong.
If you are stuck at the beginning tell us and we'll start with the definitions.
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Draw a dot for the point where the long arm is attached. Draw a vertical line downward from this dot, and label the length as "45".
Draw circle at the end of this length, and label the radius as "5".
To model the pendulum at one extreme of its swing, draw a diagonal line to the right of the vertical line, starting from the original dot. Make it the same length as the original vertical line, and label this new line as "45". Draw a circle at the end of this new line, identical to the first circle, and label the radius as "5".
You're needing to find the (horizontal) width of the interior of the clock's body. To find the horizontal distance that the pendulum has travelled, draw an horizontal line from the center of the second circle to the original vertical line. Label the angle at the top of this right triangle "33".
What then must be the length of the horizontal line? Adding the rest of the width of the pendulum, what must be the width of this half of the pendulum's swing, inclusive of the disc? Then what must be the minimum width of the interior of the clock?
If you get stuck, please reply with a clear listing of your efforts so far, starting with your answers to the questions above. Thank you!
