What is the equivalent of 42 min. 48 sec. in...

Question 1 / 2707066636ee928f7522a1c5196e4

Question 1 of 2707066636ee928f7522a1c5196e4

What is the equivalent of 42 min. 48 sec. in arc units?

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Question 1 of 27070

Q

What is the equivalent of 42 min. 48 sec. in arc units?

🔍 Key Concepts

• Relationship between time and arc in celestial navigation (1 hour of time vs degrees of arc) • How many degrees of arc correspond to 1 hour, 1 minute, and 1 second of time • Converting seconds of time into seconds of arc, then into minutes of arc

💭 Think About

• First convert 42 minutes and 48 seconds of time into the equivalent number of seconds of time, then apply the time-to-arc conversion factor • After converting to total arc seconds, convert that value back into degrees and minutes of arc to compare with the answer choices • Check that the final number of degrees and minutes makes sense relative to 1 hour of time (15° of arc)

✅ Before You Answer

• Know exactly how many degrees of arc are in 1 hour of time, and derive from that how many minutes of arc are in 1 minute of time • Convert 48 seconds of time to arc seconds using the same factor used for minutes and hours • After calculating total arc, carefully convert arc seconds to arc minutes, and arc minutes to degrees + remaining minutes, then compare logically with choices

Question 1 of 27070

Q

What is the equivalent of 42 min. 48 sec. in arc units?

A

18? 16'

B

10? 42'

C

11? 19'

D

21? 24'

Question 1 / 2707066636ee928f7522a1c5196e4

Question 1 of 2707066636ee928f7522a1c5196e4

What is the equivalent of 42 min. 48 sec. in arc units?

Back

Question 1 of 27070

Q

What is the equivalent of 42 min. 48 sec. in arc units?

🔍 Key Concepts

• Relationship between time and arc in celestial navigation (1 hour of time vs degrees of arc) • How many degrees of arc correspond to 1 hour, 1 minute, and 1 second of time • Converting seconds of time into seconds of arc, then into minutes of arc

💭 Think About

• First convert 42 minutes and 48 seconds of time into the equivalent number of seconds of time, then apply the time-to-arc conversion factor • After converting to total arc seconds, convert that value back into degrees and minutes of arc to compare with the answer choices • Check that the final number of degrees and minutes makes sense relative to 1 hour of time (15° of arc)

✅ Before You Answer

• Know exactly how many degrees of arc are in 1 hour of time, and derive from that how many minutes of arc are in 1 minute of time • Convert 48 seconds of time to arc seconds using the same factor used for minutes and hours • After calculating total arc, carefully convert arc seconds to arc minutes, and arc minutes to degrees + remaining minutes, then compare logically with choices