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

sin 0: = 1320 2641 --0

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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