ShmoopTube

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Here’s your shmoop du jour, brought to you by 45 degrees.

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If a right angle is 90 degrees, we guess this angle is only half right.

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What angle is made when the hands of a clock are at 2:30?

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Here are the potential answers...

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Alright, where to begin….

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so… a “clock” is this type of antiquated time-telling device used in the era before cell phones…

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All right, so we’ve got our minute hand, which is obviously pointing to the…minute.

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The hour hand, however, is a bit trickier.

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Rather than making a big jump suddenly from the 2 to the 3 at some point,

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it meanders slowly during the hour...

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But we’re dealing with 2:30, which should be easy –

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we’re exactly halfway between 2 and 3 o’clock, right here.

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We know that a circle has 360 total degrees…

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…so the angle between any two numbers on a clock face must be one-twelfth of that…or 30 degrees.

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Looking at our hands…not those, focus on the problem, please…

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…we can see that we are looking for an angle equivalent to 3 and a half hours.

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At 3.5 times 30 or 105… so our solution is choice B.

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