Convert the angle measure \( 46^{\circ} 27^{\prime} 36^{\prime \prime} \) to decimal degrees. \( 46^{\circ} 27^{\prime} 36^{\prime \prime}=\square^{\circ} \) (Type an integer or decimal rounded to the nearest thousandth as needed.)

To convert the angle measure \( 46^{\circ} 27^{\prime} 36^{\prime \prime} \) to decimal degrees, you can use the following formula: \[ \text{Decimal Degrees} = \text{Degrees} + \left(\frac{\text{Minutes}}{60}\right) + \left(\frac{\text{Seconds}}{3600}\right) \] Plugging in the values: \[ \text{Decimal Degrees} = 46 + \left(\frac{27}{60}\right) + \left(\frac{36}{3600}\right) \] Calculate each part: \[ \frac{27}{60} = 0.45 \] \[ \frac{36}{3600} = 0.01 \] Now, add them together: \[ 46 + 0.45 + 0.01 = 46.46 \] To express this to the nearest thousandth: \[ 46.46 \text{ becomes } 46.460^{\circ} \] **Answer:** \(46.460^{\circ}\)