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

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\\(98)/(100) degrees = (98)/(100) *60\\=58.8 minutes`

Again 0,8 is in decimals convert into seconds

`frac{8}{10} minutes = (8)/(10) *60\\=48 seconds`

Put together we get

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