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The speed that a tsunami can travel is modeled by the equation S=356sqrtD , 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

Respuesta :

D=(200km/365)^2
^^^^^^^^^^^^^^^^^^^^^^

Answer:

Option A is the correct answer.

Step-by-step explanation:

S = 356[tex]\sqrt{D}[/tex]

Making the subject D by squaring both sides ,we get

[tex]S^{2} =  356^2 (D)[/tex]

                  Dividing  both sides by [tex]356^2[/tex] ,we get

           D =[tex]\frac{S^2}{356^2}[/tex]

                 here S = 200 km/hr

            D = [tex]\frac{(200^2}{356^2}[/tex]

               on simplifying it ,we get

                D = 0.3156 KM

                             or

                   = 0.32 km