Question

Which is the equivalent of 172.98 degrees written in DMS form?

Answer 1

172 58' 48" is the answer with the little degree thingy on the top of each number  

A is correct!

Answer 2

Answer:

Step-by-step explanation:

We are given a degree in decimal 172.98 degrees and we have to convert into degrees, minutes and second form.

There are four options given and we have to select the best of the 4 options.

We have in degrees

$1 degree =60 minutes\\1 minute =60 seconds$

But we have been given in decimals

Hence 172 degrees and 98/100 degrees.

To convert 98/100 degrees into minutes and second

$1 degree =60 minutes\\\frac{98}{100} degrees = \frac{98}{100} *60\\=58.8 minutes$

Again 0,8 is in decimals convert into seconds

$frac{8}{10} minutes = \frac{8}{10} *60\\=48 seconds$

Put together we get

$172.98 degrees = 172 deg 58 min and 48 seconds$