Answer
0.750111
Work Step by Step
Converting $41^{\circ}24'$ to decimal degrees, we get
$41^{\circ}24'=41^{\circ}+\frac{24}{60}^{\circ}=41^{\circ}+0.4^{\circ}=41.4^{\circ}$
$\cos 41^{\circ}24'=\cos 41.4^{\circ}\approx0.750111$
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