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Convierte el angulo 280.76* de forma decimal en grados a DMS 280 35' 76"280 45' 36"280 44' 76"280 46' 35"...

Question

Convierte el angulo 280.76* de forma decimal en grados a DMS 280 35' 76"280 45' 36"280 44' 76"280 46' 35"

Convierte el angulo 280.76* de forma decimal en grados a DMS 280 35' 76" 280 45' 36" 280 44' 76" 280 46' 35"



Answers

Convert the angle measures given in DMS form to decimal degrees with three decimal places. $$16^{\circ} 24^{\prime} 45^{\prime \prime}$$

So we're given this angle indeed. The D M s form degrees, minutes, seconds for home, whereas to convert that two degrees, uh, and to three decimal places, if necessary. So we want to convert that two degrees. So how do we do that? Well, there's over here. There's a formula for that. So what we're giving right now is in D. M s form, or we can write it like this. R m is this That's a minute. And that's our seconds, right? And so we forgiven something in this form, and we want to convert it to ah, decimal degrees. Then the decimal degrees de de, um is going to be This is just a variable. That stance protest multi grieve is going to be to be so d d. So the angle in degrees is going to be equal to deep plus m over 60 um, plus s over 3600 And so sorry. So let's, uh, let's do it with this D m s right over here. And so if I scroll, I am going to see that. Yeah, let's scroll. Sorry. School. Okay. And so to do this or were given this right over here. Um, so let's do it. So our D d is going to be cool to our decimal degrees. Um, sorry are degrees. So 25 degrees plus R. I am over 60. So that's gonna be our 45/60 hum plus or s over 3600 And so if I use my calculator, that is going to be, Oh, it's going to be 25 0.754 degrees and so that

To convert this, you need to divide the minutes by 60 and your seconds by 3600. This will put the Malan two degrees. So then you can add them to your 40 plus 20 divided by 60 which will give you 600.3 repeating plus 30 divided by 3600. What do you give your point 008 three. Repeating the new Simply add these altogether. Your final answer is 40 0.34 to.

Yeah. All right. And number 26 were given 63°29 minutes 42 seconds. And we want to convert that to just um degrees. Obviously there's gonna be a decimal but that should tell you that we already know that our answer is going to be 63 point something degrees. We just got to figure out what that point something is. And to do that, we're just going to use these conversion formulas there that you see on the right, Okay, each minute is 1/60 of a degree. So 29 minutes is equivalent to 29/60 of a degree. And each minute is for each second is 1 36/100 of a degree. Right? Because that's just 1/60 times 1/60. So each second Is 1 30 600. So if I have 42 seconds, that's equivalent 40-30/600 of a degree. And then all we have to do is add all of it together. So to find the number of degrees we're going to do 63 plus 29 60 ifs plus 42 36 hundreds. And that will give us our decimal answer of degrees. So let's go to the calculator. All right. So it was 63 plus and then it was sorry one there It was 29 29 minutes and 42 seconds. So it's gonna be plus 29/16 And that's gonna read plus 42 3600s. And that's the equivalent angle and just degrees 63.495. So there is that part of your answer? So 63° 29 minutes, 42 seconds is the same thing as 63.495°. That was 4 95°. Right mm. Yes. What happened there? Yeah, 63.495. And there you go.

Yeah, Alright. In 29 we want to convert 211 degrees, 46 minutes and 48 seconds into just degrees. So we just want to convert out of the minutes and seconds and we do so by just using these little formulas there on the right, very simple to do. Okay. So we already know that our answer is going to be 211 something degrees. Okay, So we know what our answers might look like. Uh we just got to figure out what that point something is. And so it's just too simple conversions. Each minute is 1/60 of a degree. Right? So if I have 46 minutes, that's equivalent to 46 60th of a degree. And similarly since one second is 1/60 of a minute, which is in turn 1/60 of a degree, that tells us that one second is 1 36/100 of a degree. And since we have 48 seconds, that's equivalent to 48, of a degree. And yes, those fractions are reducible and if you want to take the time and do it great. But we're converting this all to decimal so no reason to do it. And now on our calculators we're just gonna add it all together, We're gonna add 200 to choose and road, we have 211 degrees plus 46 60th of a degree plus 48 36 hundreds of the degree. We just throw that in our calculator and that will give us our decimal part. All right. So they switch over to Jazz most here. So that's 211 plus there was 40 6 60 ifs of a degree plus 48. 36 hundreds of a degree. And there is your decimal equivalent Adding up those minutes and seconds gives you .7/8 of a degree. So our answer is maybe to 11.78. So I don't need nearly that big of answer blank. So this is going to be a point 70 and there you go, easy peasy.


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