AyahS219318 AyahS219318
  • 03-11-2022
  • Mathematics
contestada

Convert the angle to decimal degree rounded to hundredth 77°39’

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MaxieB72178 MaxieB72178
  • 03-11-2022

Our angle is written in degree, minutes and seconds format.

Let's say we have the following number on this format

xº y' z''.

To convert this number to decimal, we use the following formula

[tex]x^oy^{\prime}z^{\prime}^{\prime}=(x+\frac{y}{60}+\frac{z}{3,600})^o[/tex]

Using this formula in our angle 77º 39', we have

[tex]77^o39^{\prime}=(77+\frac{39}{60}_{})^o=77.65^o[/tex]

And this is our answer. Our angle written in decimal form is 77.65º.

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