Question

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

Answer 1

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

Answer 2

Option A is the correct answer.

Explanation:

S = 356
`√(D)`

Making the subject D by squaring both sides ,we get

`S^(2) =  356^2 (D)`

Dividing both sides by
`356^2` ,we get

D =
`(S^2)/(356^2)`

here S = 200 km/hr

D =
`((200^2)/(356^2)`

on simplifying it ,we get

D = 0.3156 KM

or

= 0.32 km