Answer:
The value of the angle is 107° 46' 46''
Explanation:
we know that
To find out the value of the angle , subtract the initial display reading from the final reading
Remember that
1°=60'
1'=60''
1°=3,600''
we have
Initial display reading=21° 33' 18''
Convert to seconds
21(3,600)+33(60)+18=77,598''
Final display reading=129° 20' 04''
Convert to seconds
129(3,600)+20(60)+4=465,604''
Find the difference
465,604''-77,598''=388,006''
Convert 388,006'' to degrees
388,006''/3,600=107.7794°
Convert 0.7794° to minutes
0.7794(60)=46.764'
Convert 0.764' to seconds
0.764(60)=45.84''=46''
therefore
The value of the angle is
107° 46' 46''
