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# A river flows due east at 1.00 m/s. A boat crosses the river...?

A river flows due east at 1.00 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 14.0 m/s due north relative to the water.

(a) What is the velocity of the boat relative to shore?

m/s

(north of east)

(b) If the river is 320 m wide, how far downstream has the boat moved by the time it reaches the north shore?

### 1 Answer

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- Anonymous9 years agoFavorite Answer
This is a trigonometric like question, and needs a triangle, so I can only show you the answer..

a. And is 14.04 m/s [N85.9E]

b.

tan theta = opposite/adjacent

tan 86.9 = 320 / adjacent

adjacent = 320/tan86.9

= 22.94 m

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