In Exercises 19 to 24, use a calculator to convert each decimal degree measure to its equivalent

step 1 Sorry about that. I was just taking a drink. In 23, we want to convert 3 and 400 to 1 ,000th of

In Exercises 19 to 24, use a calculator to convert each...

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Key Concepts

Decimal Degrees

Decimal degrees is a numerical method to express angles or geographic coordinates using a decimal system rather than whole numbers. It simplifies computation and recording by using a single number, representing the angle as a fraction of degree.

Degrees, Minutes, and Seconds (DMS) Notation

DMS notation expresses angles using three separate units: degrees, minutes, and seconds. This traditional system divides a degree into 60 minutes and each minute into 60 seconds, providing a more granular representation of angles commonly used in fields such as geography and astronomy.

Conversion Process

The conversion process from decimal degrees to DMS involves separating the whole number part as degrees, multiplying the fractional part by 60 to obtain minutes, and taking any fractional part of the minutes and multiplying by 60 to obtain seconds. This systematic approach allows the translation between compact decimal formats and the more descriptive DMS format.

Transcript

00:03 Sorry about that.

00:04 I was just taking a drink.

00:07 In 23, we want to convert 3 and 400 to 1 ,000th of a degree into degrees, minutes, and seconds, using the two conversions that you see there.

00:19 One degree is 60 minutes and one minute is 60 seconds.

00:23 Yes, there's a way to just type the numbers in the calculator and put you a couple buttons and get your answer.

00:28 But it's not hard to compute my hand, and then this wouldn't.

00:32 Be much of a instructional video if i just told you what buttons to push.

00:38 Okay.

00:39 We already know part of our answer already because we have 3 .402 degrees.

00:48 So that means our answer is going to be three degrees and then some number of minutes and then some number of seconds.

00:56 So we already know the first part.

00:58 So our job is to convert the 400 and 2 .1 ,000th of a degree into minutes and then into seconds if necessary.

01:08 And that is really easy to do.

01:11 It's just basic multiplication, right? you're going to take that 0 .402 degrees and you're going to multiply it by 60 because what that's going to do is give you the equivalent number of minutes.

01:27 So 0 .402 times 60, you'll get 24 .12.

01:33 Right? so 0 .402 degrees is 24 .12 minutes.

01:41 And there's the second part of our answer.

01:44 We have 24 minutes...

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