Question

1. convert 64.32° into degrees, minutes, and seconds. (2 points)

Explanation:

Step1: Identify the whole number of degrees

The whole number part of \( 64.32^\circ \) is the degrees, so we have \( 64^\circ \).

Step2: Convert the decimal part to minutes

We take the decimal part \( 0.32 \) and multiply it by \( 60 \) (since there are \( 60 \) minutes in a degree) to get the number of minutes.
\( 0.32\times60 = 19.2' \)
The whole number part of this result is the minutes, so we have \( 19' \).

Step3: Convert the remaining decimal part to seconds

We take the decimal part of the minutes result \( 0.2 \) and multiply it by \( 60 \) (since there are \( 60 \) seconds in a minute) to get the number of seconds.
\( 0.2\times60=12'' \)

Answer:

\( 64^\circ19'12'' \)