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3 June, 17:03

A horizontal angle was measured by repetition six times with a total station. If the initial display reading was 21o33'18" and the final reading was 129o20'04", determine the value of the angle to the nearest second.

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  1. 3 June, 17:14
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    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''
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