Answer
1.027349
Work Step by Step
Converting $13^{\circ}15'$ to decimal degrees, we get
$13^{\circ}15'=13^{\circ}+\frac{15}{60}^{\circ}=13^{\circ}+0.25^{\circ}=13.25^{\circ}$
$\sec 13^{\circ}15'=\sec 13.25^{\circ}$
Now, we use the reciprocal identity $\sec\theta=\frac{1}{\cos\theta}$ to simplify the expression.
$\sec 13.25^{\circ}=\frac{1}{\cos 13.25^{\circ}}=1.027349$
