The speed of a tidal wave produced by a tsunami is determined by the formula s= 356 $\sqrt{d}$√d , where S is the speed of the wave in km/h, and d is the depth of the ocean in km. If the speed of a wave is determined to be 150 km/h, what is the depth of the ocean at that point? Show all work, and round to the nearest hundredth of a kilometre
6 years ago
Answered By Sina E
S=356* $\sqrt{d}$√d ==>The speed of the wave is equal to s=150 km/hr, 150=356* $\sqrt{d}$√d ==> $\sqrt{d}=\frac{150}{356}=0.4123$√d=150356=0.4123 ==> since this is an equality we can take both sides to a power of 2 in order to get rid of the square root ==> $\left(\sqrt{d}\right)^2=\left(0.4213\right)^2=0.1775km$(√d)2=(0.4213)2=0.1775km ==> d=0.18 km
6 years ago
Answered By Sina E
S=356* $\sqrt{d}$√d ==>The speed of the wave is equal to s=150 km/hr, 150=356* $\sqrt{d}$√d ==> $\sqrt{d}=\frac{150}{356}=0.4123$√d=150356 =0.4123 ==> since this is an equality we can take both sides to a power of 2 in order to get rid of the square root ==> $\left(\sqrt{d}\right)^2=\left(0.4213\right)^2=0.1775km$(√d)2=(0.4213)2=0.1775km ==> d=0.18 km
6 years ago
Answered By Sujalakshmy V
S=356 $\sqrt{d}$√d
S is given as 150 Km/hr
150 = 356 $\sqrt{d}$√d
$\sqrt{d}$√d =150/356 =0.4213
d= (0.4213)2 = 0.1775 Km
Rounding to nearest hundredth of a km,d=0.18 Km.
The depth of the ocean is 0.18 Km