Question

this model shows the transverse wave maya creates in one battle rope. maya is 5 feet, 5 inches tall.
which is the best estimate of the waves wavelength?
1 foot
5 feet
15 feet
50 feet
which is the best estimate of the waves amplitude?
1 foot
5 feet
15 feet
50 feet

Explanation:

Step1: Estimate wavelength via height

Maya's height = 5 ft 5 in ≈ 5.4 ft. One wavelength (distance between 2 crests) is ~3× her height:
$\text{Estimated wavelength} \approx 3 \times 5.4 = 16.2$ ft, closest to 15 ft.

Step2: Estimate amplitude via height

Amplitude (distance from midline to crest) is ~$\frac{1}{5}$ of her height:
$\text{Estimated amplitude} \approx \frac{5.4}{5} = 1.08$ ft, closest to 1 ft.

Answer:

For wavelength: 15 feet
For amplitude: 1 foot