A chord of a circle is half a mile long and supports an arc whose length is
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A chord of a circle is half a mile long and supports an arc whose length is 1 foot longer (1 mile = 5280 feet). Show that the angle θ subtended by the arc at the centre of the circle satisfies
Use the series expansion for sine to obtain an approximate solution of this equation, and estimate the maximum height of the arc above its chord.
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