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The approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is 0.32 km. Hence, option A is the correct choice.
To solve for the average depth of water, when the water is traveling at 200 kilometers per hour, we substitute speed S = 200, in the relation S = 356√d.
This will be solved in the following way:
S = 356√d,
or, 200 = 356√d {Substituting S = 200},
or, 200/356 = (356√d)/356 {Dividing both sides by 356},
or, √d = 0.5618 {Simplifying},
or, d = 0.32 kilometers.
Therefore, the approximate depth of water for a tsunami traveling at 200 kilometers per hour, given the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers, is 0.32 km. Hence, option A is the correct choice.
The provided question is incomplete.
The complete question is:
"The speed that a tsunami can travel is modeled by the equation S=356√d, where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?
A. 0.32 km
B. 0.75 km
C. 1.12 km
D. 3.17 km"
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