Question

convert the angle to d°m′s″ form 69.26°. 69.26° = □°□′□″ (round to the nearest second as needed.)

Explanation:

Step1: Separate the whole - degree part

The whole - degree part of $69.26^{\circ}$ is $69^{\circ}$.

Step2: Find the number of minutes

We know that $1^{\circ}=60'$. To find the number of minutes, we take the decimal part of the degree and multiply by 60. The decimal part is $0.26$, so the number of minutes is $0.26\times60 = 15.6'$.

Step3: Separate the whole - minute part

The whole - minute part of $15.6'$ is $15'$.

Step4: Find the number of seconds

We know that $1' = 60''$. To find the number of seconds, we take the decimal part of the minute and multiply by 60. The decimal part of the minute is $0.6$, so the number of seconds is $0.6\times60=36''$.

Answer:

$69^{\circ}15'36''$