Question

Convert the Angle 123.60' intro centesimal system​

Answer 1

To convert 123.60' into centesimal system, we need to first convert minutes to decimal degrees.

FORMULA:
`decimaldegrees= degrees+ (minutes)/(60)+(seconds)/(3600)`

STEPS:

• In this case, we have:
  `decimaldegrees=123+(60)/(60)+(0)/(3600)=123.01`

• We can now convert the decimal deg to centesimal degrees. Since a right angle is 100 centesimal degrees, we can this formula:
  `centesimaldegrees= (decimaldegrees)/(0.9)`
• In this case, we have:
  `centesimaldegrees= (123.01)/(0.9)= 136.68`

Therefore, the angle 123.60' is approximately equal to 136.68 centesimal degrees.