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Geometry Level 3

Express in terms of right angle: 63° 17' 25''.

If your answer is of the form a b \Large \frac{a}{b} ,where a and b are coprime integers, submit your answer as a + b a+b

Note: a° represents a degrees, b' denotes b minutes and c'' denotes c seconds, where degrees, minutes and seconds are measures of angle in sexagesimal system .


The answer is 110369.

Puneet Pinku by Puneet Pinku , 20, India

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1 solution

63 ° 1 7 ′ 2 5 ′ ′ = 63 ° + 17 ° 60 + 25 ° 3600 = 45569 720 = 90 ° ⋅ 45569 64800 63° 17' 25''=63°+\frac { 17° }{ 60 } +\frac { 25° }{ 3600 } =\frac { 45569 }{ 720 } =90°\cdot \frac { 45569 }{ 64800 } , then a + b = 110369 a+b=110369

You should specify that a a and b b are coprime positive integers.

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