Question

An equation for estimating the speed of a tsunami is, s= 3.1√d where d is the depth of the ocean in meters and s is the speed in meters per second. Find the depth of the ocean when the speed of the tsunami is 250 meters per second. Estimate to the nearest tenth.

Answer 1

Given: \[\huge s= 3.1\sqrt{d }\]
Now we need to find d,when s= 250 m/s
so,
\[\huge 250= 3.1\sqrt{d } \rightarrow \frac{250}{3.1} = \sqrt{d}\]
Next squaring boht the sides

Answer 2

well 250/3.1 = 80.64

Answer 3

@dpasingh

Answer 4

\[\huge \rightarrow (\frac{250}{3.1})^2 = (\sqrt d)^2\]
\[\huge \rightarrow \frac{62500}{9.61} = d\]
\[\huge d= 6503.64\]
Hence the depth of the ocean is 6503.64 metres

@jadeedwardson