contestada

A boat moves relative to water at 6 m/s. The current runs at 5 m/s. At what angle should the boat captain direct the boat to reach a dock that is directly across the river with respect to the direction of the flow of the river?

Respuesta :

Answer:

Let us take Θ as measured zero straight across the river.

(draw a diagram)

If the current were zero, he would travel at 6 m/s at some angle Θ.

Now add the speed of the current, directly downstream at 5 m/s

His speed, directly across will be v^2 = 6^2 - 5^2      or v= 3.3 m/s

tan Θ  = 5 / 3/.3    and   Θ  = 56.6 deg

Instead of travelling directly across he must choose an angle of 56.6 deg

from straight across

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