A surveyor measures an angle btw two lines and find it to be 43° 20' 05"

March 30, 2026Mathematics

ScanSolve AI Answer

Answer

\text{43.334722... degrees}

3 steps

To convert the angle $43^\circ 20' 05''$ to decimal degrees:

Convert the minutes to degrees by dividing by 60.
$20' = \frac{20}{60}^\circ = 0.33333...^\circ$
Convert the seconds to degrees by dividing by 3600.
$05'' = \frac{5}{3600}^\circ = 0.001388...^\circ$
Add the degree, converted minutes, and converted seconds together.
$43^\circ + 0.33333...^\circ + 0.001388...^\circ = 43.334722...^\circ$
The angle in decimal degrees is:
$\text{43.334722... degrees}$

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