Problem

Convert the following angle to degrees, minutes, and seconds form. α=89.369
The answer is
(Simplify your answers. Round to the nearest second as needed.)

Answer

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Answer

89228 is the final answer.

Steps

Step 1 :Given the angle α=89.369.

Step 2 :The whole number part of the decimal degree is the degrees, so the degrees are 89.

Step 3 :Next, we multiply the decimal part by 60 to get the minutes. The decimal part is 0.369, so the minutes are 0.369×60=22.14. The whole number part of this result is the minutes, so the minutes are 22.

Step 4 :Then, we multiply the decimal part of the minutes by 60 to get the seconds. The decimal part is 0.14, so the seconds are 0.14×60=8.4. We round this to the nearest second to get 8 seconds.

Step 5 :Finally, we combine the degrees, minutes, and seconds to express the angle in degrees, minutes, and seconds form. The angle α=89.369 is equivalent to 89228.

Step 6 :89228 is the final answer.

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