Answer
$\sec 48.2^{\circ}$ = 1.5003
Work Step by Step
Using calculator in degree mode-
$\sec 48.2^{\circ}$ = 1.5003020027
(Finding $\cos$ first and then using reciprocal $\frac{1}{x}$)
Rounding it to four places past the decimal point-
$\sec 48.2^{\circ}$ = 1.5003