All the maximums interference pattern are the same distance
apart. Let's call this distance "y".
Let's call the distance between the grating and the screen
"d".
The first maximum is y from the center line, so
tan (11.4) = y/d, m = 1
For small angles, tangent is approximately equal to sine.
sin (11.4) approx = y/d, m = 1
The fourth maximum is 3y from the center line, so
tan (x) = 3y/d
sin (x) approx= 3y/d
x = arcsin (3y/d)
x = arcsin (3 sin (11.4))
x = 36.37 degrees
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