Question

Convert the angle 254.975 degrees to degrees/minutes/seconds form.

A. 254° 58' 30
B. 254° 58'
C. 254° 58.5'
D. 254° 58' 0.5

Answer 1

To convert 254.975 degrees to DMS, you identify the degrees (254), multiply the decimal by 60 to get the minutes (58.5), and multiply the decimal part of the minutes by 60 to get the seconds (30 seconds), resulting in 254° 58' 30".

Step-by-step explanation:

To convert the angle 254.975 degrees to degrees/minutes/seconds (DMS) form, we start by noting that there are 60 minutes in a degree and 60 seconds in a minute. Here's how you would convert it:

1. The whole number part is the degrees, which here is 254 degrees.
2. To find the minutes, take the decimal part (.975) and multiply by 60. .975 x 60 = 58.5 minutes. The whole number part is the minutes.
3. Take the remaining decimal part of the minutes (.5) and multiply by 60 again to get the seconds. .5 x 60 = 30 seconds.

So, the angle in DMS is 254 degrees 58 minutes 30 seconds, which corresponds to option A.