A parallel beam of microwaves is focused on a metal screen that contains 20-cm-wide, horizontal slit. Microwaves have longer wavelength than visible light, and a 20 cm slit is wider than what you would use to observe diffraction from visible light (where the slit would need a width similar to a hair). Microwaves will produce the same type of diffraction pattern as discussed in the background for this Investigation, where the equation

a sin ⁡ θ = n λ , n = ± 1 , ± 2 , ± 3 , e t c

for the resulting diffraction pattern will be valid.

Required:
A detector moving parallel to a screen used to observe the diffraction pattern finds the first minimum at what angle above the axis of the central axis (where the central maximum is) at an angle of 36.87 degrees above the central axis?