Question

Express the following angles in degree minutes, and second
1/5

Answer 1

Answer:

1/5 radians = 11°27'16''

Step-by-step explanation:

we are given

1/5 radians and

we we know that

one radian = 180 / π

So

1/5 radians = (1/5) × (180 / π)

                  = 36 / π

                  = 36 × 7 / 22              ∵ π ≈ 22 / 7

                  ≈ 11.4545

And

11.4545° = 11° + 0.4545°

              = 11° + (60 × 0.4545)'

              = 11° + (27.27)'            

              = 11° + 27' + 0.27'

              = 11°27' + 0.27'

              = 11°27' + (0.27 × 60)''

              = 11°27'16''

Thus

1/5 radians = 11°27'16''

Answer 2

Step-by-step explanation:

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