Final answer:
The shortest transverse distance between a maximum and a minimum of the wave is 0.835 meters.
Step-by-step explanation:
The shortest transverse distance, d, between a maximum and a minimum of the wave can be found by using the formula:
d = λ/2
where λ is the wavelength of the wave.
In this case, the wavelength is given as 1.67 m. Plugging this value into the formula, we have:
d = 1.67 m / 2 = 0.835 m
Therefore, the shortest transverse distance between a maximum and a minimum of the wave is 0.835 meters.