Answer
$\tan$ 421$^{\circ}$ 30' = 1.84177088
Work Step by Step
$\tan$ 421$^{\circ}$ 30'
First, convert to a fraction
$\tan$ 421$^{\circ}$ $\frac{30}{60}$
Convert the fraction to a decimal
$\frac{30}{60}$ = 0.50
Therefore:
$\tan$ 421$^{\circ}$ 30' = $\tan$ 421.50$^{\circ}$
$\tan$ 421.50$^{\circ}$ = 1.84177088
$\tan$ 421$^{\circ}$ 30' = 1.84177088