1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marina86 [1]
3 years ago
13

How do you convert a location as a decimal into degrees, minutes , and then seconds. Like 46.19*North and 122.19*West

Mathematics
1 answer:
jonny [76]3 years ago
5 0
Degrees are the units of measurement for angles.
There are 360 degrees in any circle, and one
degree is equal to 1/360 of the complete
rotation of a circle.

360 may seem to be an unusual number to use, but this part
of math was developed in the ancient Middle East. During
that era, the calendar was based on 360 days in a year, and
one degree was equal to one day.

* Fractions of Degrees

There are two methods of expressing fractions of degrees.
The first method divides each degree into 60 minutes (1° = 60'), then each minute into 60 seconds (1' = 60").
For example, you may see the degrees of an angle stated like this: 37° 42' 17"

The symbol for degrees is ° , for minutes is ', and for seconds is ".

The second method states the fraction as a decimal of a degree. This is the method we will use.
An example is 37° 42' 17" expressed as 37.7047° .

_____________________________________

Most scientific calculators can display degrees both ways. The key for degrees on my calculator looks like ° ' ", but the key on another brand may look like DMS. You will need to refer to your calculator manual to determine the correct keys for degrees. Most calculators display answers in the form of degrees and a decimal of a degree.
_____________________________________
It is seldom necessary to convert from minutes and seconds to decimals or vice versa; however, if you use the function tables of many trade manuals, it is necessary. Some tables show the fractions of degrees in minutes and seconds (DMS) rather than decimals (DD). In order to calculate using the different function tables, you must be able to convert the fractions to either format.
* Converting Degrees, Minutes, & Seconds to Degrees & Decimals

To convert degrees, minutes, and seconds (DMS) to degrees and decimals of a degree (DD):
First: Convert the seconds to a fraction.
Since there are 60 seconds in each minute, 37° 42' 17" can be expressed as
37° 42 17/60'. Convert to 37° 42.2833'.
Second: Convert the minutes to a fraction.
Since there are 60 minutes in each degree, 37° 42.2833' can be expressed as
37 42.2833/60° . Convert to 37.7047° .

Degree practice 1: Convert these DMS to the DD form. Round off to four decimal places.

(1) 89° 11' 15" (5) 42° 24' 53"
(2) 12° 15' 0" (6) 38° 42' 25"
(3) 33° 30' (7) 29° 30' 30"
(4) 71° 0' 30" (8) 0° 49' 49"
Answers.
* Converting Degrees & Decimals to Degrees, Minutes, & Seconds

To convert degrees and decimals of degrees (DD) to degrees, minutes, and seconds (DMS), referse the previous process.
First: Subtract the whole degrees. Convert the fraction to minutes. Multiply the decimal of a degree by 60 (the number of minutes in a degree). The whole number of the answer is the whole minutes.
Second: Subtract the whole minutes from the answer.
Third: Convert the decimal number remaining (from minutes) to seconds. Multiply the decimal by 60 (the number of seconds in a minute). The whole number of the answer is the whole seconds.
Fourth: If there is a decimal remaining, write that down as the decimal of a second.
Example: Convert 5.23456° to DMS.

5.23456° - 5° = 023456° 5° is the whole degrees
0.23456° x 60' per degree = 14.0736' 14 is the whole minutes
0.0736' x 60" per minutes = 4.416" 4.416" is the seconds
DMS is stated as 5° 14' 4.416"
You might be interested in
Name the plane represented by the front of the box.
andre [41]

Answer:

FBC

Step-by-step explanation:

It's the only one at the front of the box

3 0
3 years ago
Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π
Tanzania [10]

Answer:

62.8 inches

Step-by-step explanation:

c = πd

c = 3.14 * 20

c = 62.8 inches

4 0
3 years ago
Why are chemical sense called behavioral barriers
iren [92.7K]

Answer:because it works different when you smell a chemical sense from then if you smell a regular sese.

Step-by-step explanation:

A regula sense like a fart might smell bad. But a chemical sense can burn your nostrils and burn you nose hairs causing you not to have good sent or to never smell again

3 0
3 years ago
The sum of -5, -9, and 10 is _______.<br> A. 14<br> B. -14<br> C. 4<br> D. -4
saul85 [17]

Answer:

D. -4

Step-by-step explanation:

-5 + -9 = -14

-14 + 10 = -4

4 0
3 years ago
Read 2 more answers
jackson bought 555 ounces of raisins for \$4$4dollar sign, 4. How much do raisins cost per ounce? \$$dollar sign How many ounces
irga5000 [103]

Answer:

Step-by-step explanation:

8 0
4 years ago
Read 2 more answers
Other questions:
  • True or false square root 54 is close to 7?
    13·2 answers
  • Two fair six-sided dice are tossed independently. Let M 5 the maximum of the two tosses (so M(1,5) 5 5, M(3,3) 5 3, etc.). a. Wh
    8·1 answer
  • In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°
    7·2 answers
  • Solve the equation.<br><br> 2(3z-2)+8=34<br><br> A. z=3<br> B. z=-3<br> C. z=-4<br> D. z=5
    8·2 answers
  • A woman deposits 100 EUR in her daughter's bank account on her first birthday. On every subsequent birthday, she deposits 10 EUR
    9·1 answer
  • Geometry please help thanks
    9·1 answer
  • 50 points
    6·2 answers
  • Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that
    11·1 answer
  • In which of the following intervals does the trigonometric inequality sec(x) &lt; cot(x) always hold true.
    10·1 answer
  • Almost done!!! Appreciate the help
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!