Question

Convert the angle 35°58'38" to decimal degrees and round to the nearest hundredth of a degree.

A. 35.99°

B. 35.98°

C. 35.94°

D. 36.04°

Answer 1

B) 35.98°.

Explanation:

Given : 35°58'38".

To find : Convert the angle 35°58'38" to decimal degrees and round to the nearest hundredth of a degree.

Solution : We have given 35°58'38".

60 minute = 1 degree.

1 minute =
`(1)/(60)` degree.

58 minute =
`(58)/(60)` degree.

1 minute = 60 seconds .

So,

60 second =
`(1)/(60)` degree.

1 second =
`(1)/(3600)` degree.

38 second =
`(38)/(3600)` degree.

Then total degree :

35° + (
`(58)/(60)` )° + (tex]\frac{38}{3600}[/tex])°.

35°58'38" = 35.98°

Therefore, B) 35.98°.

Answer 2

Given:
35 degrees, 58 minutes and 38 seconds.
60 minutes = 1 degree
60 seconds = one minute
3600 seconds = 1 degree. Sustituting:
We get :

35° + (58/60)° + (38/3600)° = 35.98 degrees