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nicekikah

Answered question

2021-05-21

Express the angle as a decimal, to the nearest ten-thousandth of a degree.

258^{\circ} 39^{'} 52^{″}

Clelioo

Skilled2021-05-22Added 88 answers

Step 1
Use the unitary method to convert the minutes and seconds into decimals.

39^{'} = 39 m i n

= {(\frac{39}{60})}^{\circ}

= {0.65}^{\circ}

52^{″} = 52 s e c

= {(\frac{52}{60 \times 60})}^{\circ}

= {0.01444}^{\circ}

Step 2
Now, convert the angle into decimals.

258^{\circ} 39^{'} 52^{″} = 258^{\circ} + {0.65}^{\circ} + {0.01444}^{\circ}

= {258.66444}^{\circ}

\approx {258.6644}^{\circ}

Hence,

258^{\circ} 39^{'} 52^{″} = {258.6644}^{\circ}

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