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One afternoon, a couple walks three$-$fourths of the way around a circular lake, the radius of which is $1\mathrm{.}55km.$ They start at the west side of the lake and head due south to begin with. $($a$)$ What is the distance they travel? $($b$)$ What is the magnitude of the couple's displacement? $($c$)$ What is the direction $($relative to due east$)$ of the couple's displacement?

$($a$)$ Number

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$($b$)$ Number

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$($c$)$ Number

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