The formula to convert degrees to inches is:
\[ \text{LD} = \text{WCS} \times \sin(a) \]
Where:
To convert degrees to inches, you must multiply the width of the control surface in inches by the sine of the angle. This yields the linear deflection in inches.
Let's assume the following:
Step 1: Convert the angle to radians:
\[ 30^\circ = 30 \times \frac{\pi}{180} = 0.5236 \, \text{radians} \]
Step 2: Calculate the linear deflection:
\[ \text{LD} = 10 \times \sin(0.5236) \approx 5 \, \text{inches} \]
Therefore, the linear deflection is approximately 5 inches.