Final answer:
The wavelength of the wave described by the expression y(x,t) = 5 cos(0.183x + 6280t) is 34.42 meters, corresponding to option A.
Step-by-step explanation:
The mathematical expression for a wave is given as: y(x,t) = 5 cos(0.183x + 6280t). To find the wavelength of the wave, we need to identify the wave number k from the equation, which is the coefficient of x. The wave number k is related to the wavelength λ by the equation k = 2π / λ. Given k as 0.183 m-1, we can rearrange and solve for the wavelength λ = 2π / k.
λ = 2π / 0.183 m-1 = 34.42 m.
Therefore, the wavelength of the wave is 34.42 meters, which corresponds to option A. 34.42 m.