Question

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.

Answer 1

Answer:

52.814 degrees

Step-by-step explanation:

we know that

$1^o=60'\\1'=60''$

we have

$52^o48'51''$

$52^o48'51''=52^o+48'+51''$

Convert 51'' to minutes

$51''=\frac{51}{60}= 0.85'$

$52^o48'51''=52^o+48'+0.85'=52^o+48.85'$

Convert 48.85' to degrees

$48.85'=\frac{48.85}{60}= 0.814^o$

$52^o+48.85'=52^o+0.814^o=52.814^0$