Question

Please help me! The waves of a tsunami are traveling at 600ft/min. The waves are 25 feet high and their period is 10 minutes. What is the distance in miles between each wave and the next?
a. 2.27 miles
b. 68.18 miles
c. 1.14 miles
d. 60 miles
e. none of the above

Answer 1

The distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

Calculating Wavelength

From the question, we are to determine the distance in miles between each wave and the next. That is, we should determine the wavelength.

From the formula,

v = fλ

Where v is the velocity

f is the frequency

and λ is the wavelength

We can write that

λ = v/f

From the given information,

v = 600ft/min

Now, we will determine the frequency, f

f = 1/T

Where T is the period

From the given information,

T = 10 minutes

Thus,

f = 1/10 = 0.1 min⁻¹

Now, we can determine the wavelength

λ = v/f

λ = 600/0.1

λ = 6000 ft

Now, convert 6000 ft to miles

NOTE: 5280 ft = 1 mile

∴ 6000 ft = 6000/5280 miles

6000 ft = 1.14 miles

Hence, the distance in miles between each wave and the next is 1.14 miles. The correct option is c. 1.14 miles

Learn more on Calculating wavelength here: brainly.com/question/11281839

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