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topjm [15]
3 years ago
11

Jaime en un joven que vive en puyo con su padre. A jaime le gusta cosechar chonta con su padre los sabados en la mañana jaime ha

comprado un velocimetro y con el logra ver que la velosidad fe la canoa es de 12 m/s tambien mide que la velocidad de la corriente del rio es 10 m/s. Calcula el tiempo que se demora en atravesar el rio si tiene una anchura de 150m

Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

\large \boxed{\text{23 s}}

Step-by-step explanation:

Jaime is at point A and wants to get across the river to Point B.

They must head upstream towards Point C.

1. Calculate the net speed across the river.

∆ABC is a right triangle, so

\begin{array}{rcl}AB^{2} + BC^{2} & = & AC^{2} \\AB^{2} +10^{2} & = & 12^{2} \\AB^{2}+100& = & 144 \\AB^{2}& = & 44\\AB & = & \sqrt{44}\\& = & 2\sqrt{11}\\& \approx &\textbf{6.633 m/s}\\\end{array}

2. Calculate the time to cross the river

\text{Time} = \text{150 m} \times \dfrac{\text{1 s}}{\text{6.633 m}} \approx \textbf{23 s}\\\\\text{It will take $\large \boxed{\textbf{23 s}}$ to cross the river.}

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