Trying to measure two different angles

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icycoolx
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Trying to measure two different angles

Postby icycoolx » Fri Jan 24, 2014 7:03 pm

I have to figure out the measure of the two different angles from the picture. If somebody could show me how to solve this type of problem then that would be great.

This was the question and there are a few others like it.

Image

They say that you are supposed to measure the angles in degrees, minutes, and seconds. This ' stands for seconds, this " stands for minutes, and the degree symbol most people know already.

My work as follows:

60/20, 60/15, 3600/40 and 60/10, 60/12, 3600/30

I then got the answers 3, 4, 90, and 6, 5, 120

However I am not really sure what to do with these numbers or if I even figuring this out correctly.

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maggiemagnet
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Re: Trying to measure two different angles

Postby maggiemagnet » Sat Jan 25, 2014 11:54 am

icycoolx wrote:Image

My work as follows:

60/20, 60/15, 3600/40 and 60/10, 60/12, 3600/30

I then got the answers 3, 4, 90, and 6, 5, 120

I'm sorry, but I don't understand what you're doing. What are the fractions for? How did you get two answers for the size of the one angle? There are 60 seconds in 1 minutes and 60 minutes in 1 degree, so you add these like you add time. 40" + 30" = 70" = 1' 10" Then add the minutes from the two angles, and the degrees from the two angles. Then add all of it together, putting the 1' from the 40" + 30" in with the minutes, etc.

HallsofIvy
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Re: Trying to measure two different angles

Postby HallsofIvy » Wed Feb 11, 2015 11:45 pm

icycoolx wrote:I have to figure out the measure of the two different angles from the picture. If somebody could show me how to solve this type of problem then that would be great.

This was the question and there are a few others like it.

Image

They say that you are supposed to measure the angles in degrees, minutes, and seconds. This ' stands for seconds, this " stands for minutes, and the degree symbol most people know already.

You have this backwards. ' is minutes, '' is seconds.

My work as follows:

60/20, 60/15, 3600/40 and 60/10, 60/12, 3600/30

I then got the answers 3, 4, 90, and 6, 5, 120

However I am not really sure what to do with these numbers or if I even figuring this out correctly.

I have no idea why you are doing those calculations. The problem is asking you to add those two angles.
One angle is 20 degrees, 15 minutes, 40 seconds and the other is 10 degrees, 12 minutes, 30 seconds.

Starting with the "seconds", 40+ 30= 70 seconds. But one minute is 60 seconds so that is 1 minute, 10 seconds.
Now add the minutes: 15+ 12= 27 minutes but then add that 1 minute from the seconds addition to get 28 minutes. Finally, 20+ 10= 30 degrees. The answer is 30 degrees, 28 minutes, and 10 seconds.


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