Math
SIN function: calculate vertical rise from sloped length and angle
Convert degree angles with RADIANS before calling SIN to compute ramp elevation gain and wave amplitudes.
Always convert degrees with RADIANS() first
SIN(number) expects an angle in radians, not degrees. Passing 30 directly computes the sine of 30 radians (-0.9880), whereas SIN(RADIANS(30)) computes the sine of 30 degrees (0.5).
Multiplying a 20-meter inclined conveyor by SIN(RADIANS(30)) gives an exact 10-meter vertical lift.
| BeltLengthM (A) | AngleDeg (B) | SIN(RADIANS(B)) | VerticalRiseM |
|---|---|---|---|
| 20 | 30 | 0.5 | 10 |
| 20 | 90 | 1.0 | 20 |
Compute vertical lift from belt length and incline angle
At 30°, vertical rise is half the sloped length (10 m); at 0° flat travel, vertical rise is 0 m.
=ROUND(A2 * SIN(RADIANS(B2)), 4)Expose the raw-degrees mistake
Comparing SIN(RADIANS(30)) = 0.5 against bare SIN(30) = -0.988 makes unit bugs immediately obvious during formula review.
=ROUND(SIN(30), 3)Try the example
Use the original values or change them to test your understanding.