Question

convert the angle to a decimal in degrees. 57°5232 57°5232 = □° (do not round until the final answer. then round to four decimal places as needed.)

Explanation:

Step1: Convert minutes to degrees

Since 1 degree = 60 minutes, 52 minutes in degrees is $\frac{52}{60}$.

Step2: Convert seconds to degrees

Since 1 degree = 3600 seconds, 32 seconds in degrees is $\frac{32}{3600}$.

Step3: Calculate total degrees

The total degrees is $57+\frac{52}{60}+\frac{32}{3600}$.
$57+\frac{52}{60}+\frac{32}{3600}=57 + 0.8666\cdots+ 0.0088\cdots=57.8756\cdots$

Answer:

$57.8756$