Question

convert the angle to d°m′s′′ form. 32.22° 32.22° = □°□′□′′ (round to the nearest second as needed.)

Explanation:

Step1: Separate the whole - degree part

The whole - degree part of $32.22^{\circ}$ is $32^{\circ}$.

Step2: Find the number of minutes

We know that $1^{\circ}=60'$. The decimal part of the degree is $0.22$. Multiply the decimal part by 60 to get the number of minutes: $0.22\times60 = 13.2'$.

Step3: Separate the whole - minute part

The whole - minute part of $13.2'$ is $13'$.

Step4: Find the number of seconds

The decimal part of the minute is $0.2$. Since $1' = 60''$, multiply the decimal part of the minute by 60 to get the number of seconds: $0.2\times60=12''$.

Answer:

$32^{\circ}13'12''$