Width of slit and distance between adjacent maxima

[fa08ti]

A laser emitting light with a wavelength of 560 nm is directed at a single slit, producing an interference pattern on a screen that is 3.0 m away. The central maximum is 5.0 cm wide.

determine the width of the slit and the distance between adjacent maxima.

attempt

i used this equation:

\lambda = w L / delta y

i got 6.7 X 10 ^-5 m for the width of the slit

what I'm unsure of is the distance of the adjacent maxima, I'm not even sure where to begin

 

[DiracRules]

You should use the equation that links the intensity and the angle for a single slit.
It is easy to maximize if you know some of the basic properties of the sinc function.

Hope it helps!