Answer:
87.434°
Explanation:
To write 87°26'3" as a decimal, we follow the steps below:
[tex]\begin{gathered} 26^{\prime}=\frac{26}{60} \\ 3^{\doubleprime}=\frac{3}{3600} \end{gathered}[/tex]Thus:
[tex]\begin{gathered} 87\degree26^{\prime}3"=87+\frac{26}{60}+\frac{3}{3600} \\ =87\frac{521}{1200} \\ =87.434\degree \end{gathered}[/tex]The result is 87.434° to the nearest thousandth.