What is the time equivalent of 1 degree in terms of minutes?

Study for the HSC Mathematics Standard 2 Exam. Utilize flashcards and multiple choice questions, each with hints and explanations. Prepare confidently for your exam success!

To determine the time equivalent of 1 degree in terms of minutes, it is important to understand the relationship between degrees and time. The Earth is divided into 360 degrees of longitude, and it takes 24 hours for the Earth to complete a full rotation, which corresponds to these 360 degrees.

To find how much time corresponds to a single degree, we can calculate:

  1. First, convert the total time of one full rotation (24 hours) into minutes. Since there are 60 minutes in an hour, we multiply 24 hours by 60 minutes per hour:

[

24 \text{ hours} \times 60 \text{ minutes/hour} = 1440 \text{ minutes}

]

  1. Next, to find out how many minutes correspond to 1 degree, we divide the total number of minutes (1440) by the total number of degrees (360):

[

\frac{1440 \text{ minutes}}{360 \text{ degrees}} = 4 \text{ minutes/degree}

]

Thus, the time equivalent of 1 degree is 4 minutes. Therefore, the correct answer is 4 minutes. This conclusion allows us to understand

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