# Trig

posted by Davis

Find the angle of the measure formed by the clock.
2:15

1. Jai

we only to find the angle formed between 2 and 3 (represents where the longer hand points when 15 minutes). notice that, as the longer hand of clock moves, the shorter hand also moves. the maximum angle that it can move in an hour is
360/12 = 30 degrees (occurs if the longer hand did one whole revolution or one hour)
since it's only 15 min or 1/4 of an hour,
30 / 4 = 7.5 degrees (if it's from 2, the shorter hand travelled 7.5 degrees BELOW the 2)
since the angle needed is between 2 and 3,
30 - 7.5 = 22.5 degrees

i hope you understand the explanation~ ^^;

2. Alison

How do you write the answer in __degree___'
it wants it written like that...
would it be 22degrees30' or 22degrees25'

3. Reiny

You would write Jai's answer as
22° 30'

since the .5 in 22.5 shows that you are half way into the next degree, and since there are 60 minutes in a degree, it would be 1/2 of 60 or 30 minutes.

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