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What is the angle measure 52∘48′51′′ equivalent to in decimal degrees? Enter your answer, rounded to the nearest thousandth of a degree, in the box.

Respuesta :

calculista

Answer:

52.814 degrees

Step-by-step explanation:

we know that

[tex]1^o=60'\\1'=60''[/tex]

we have

[tex]52^o48'51''[/tex]

[tex]52^o48'51''=52^o+48'+51''[/tex]

Convert 51'' to minutes

[tex]51''=\frac{51}{60}= 0.85'[/tex]

[tex]52^o48'51''=52^o+48'+0.85'=52^o+48.85'[/tex]

Convert 48.85' to degrees

[tex]48.85'=\frac{48.85}{60}= 0.814^o[/tex]

[tex]52^o+48.85'=52^o+0.814^o=52.814^0[/tex]

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