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Question Number 196780 by Tawa11 last updated on 31/Aug/23

A tugboat is travelling from Asaba to Onitsha across the River Niger with a resultant velocity of 20 knots. If the river flows at 12 knots, the direction of motion of the boat relative to the direction of water flow is?

A tugboat is travelling from Asaba to Onitsha across the River Niger with a resultant velocity of 20 knots. If the river flows at 12 knots, the direction of motion of the boat relative to the direction of water flow is?

Commented by mr W last updated on 31/Aug/23

Commented by mr W last updated on 31/Aug/23

121°  not clear?

$$\mathrm{121}° \\ $$$${not}\:{clear}? \\ $$

Commented by Tawa11 last updated on 31/Aug/23

This is very clear too with the diagram.  God bless you sir.

$$\mathrm{This}\:\mathrm{is}\:\mathrm{very}\:\mathrm{clear}\:\mathrm{too}\:\mathrm{with}\:\mathrm{the}\:\mathrm{diagram}. \\ $$$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

Commented by mr W last updated on 31/Aug/23

but it should also be clear without the  diagram, because the diagram didn′t  come with the question, it must be  drawn by yourself.

$${but}\:{it}\:{should}\:{also}\:{be}\:{clear}\:{without}\:{the} \\ $$$${diagram},\:{because}\:{the}\:{diagram}\:{didn}'{t} \\ $$$${come}\:{with}\:{the}\:{question},\:{it}\:{must}\:{be} \\ $$$${drawn}\:{by}\:{yourself}. \\ $$

Commented by Tawa11 last updated on 31/Aug/23

That is the problem.  I drew wrong diagram but I doubt.  Immediately I saw your diagrams. I  understand.    My textbook wrong too.

$$\mathrm{That}\:\mathrm{is}\:\mathrm{the}\:\mathrm{problem}. \\ $$$$\mathrm{I}\:\mathrm{drew}\:\mathrm{wrong}\:\mathrm{diagram}\:\mathrm{but}\:\mathrm{I}\:\mathrm{doubt}. \\ $$$$\mathrm{Immediately}\:\mathrm{I}\:\mathrm{saw}\:\mathrm{your}\:\mathrm{diagrams}.\:\mathrm{I} \\ $$$$\mathrm{understand}. \\ $$$$ \\ $$$$\mathrm{My}\:\mathrm{textbook}\:\mathrm{wrong}\:\mathrm{too}. \\ $$

Commented by Tawa11 last updated on 31/Aug/23

Commented by Tawa11 last updated on 31/Aug/23

Sir see the solution provided in the text.

$$\mathrm{Sir}\:\mathrm{see}\:\mathrm{the}\:\mathrm{solution}\:\mathrm{provided}\:\mathrm{in}\:\mathrm{the}\:\mathrm{text}. \\ $$

Commented by Tawa11 last updated on 31/Aug/23

My mind tell me it wrong.  That is why I asked.  But when I saw your diagram. I underdtand better and cleared.

$$\mathrm{My}\:\mathrm{mind}\:\mathrm{tell}\:\mathrm{me}\:\mathrm{it}\:\mathrm{wrong}. \\ $$$$\mathrm{That}\:\mathrm{is}\:\mathrm{why}\:\mathrm{I}\:\mathrm{asked}. \\ $$$$\mathrm{But}\:\mathrm{when}\:\mathrm{I}\:\mathrm{saw}\:\mathrm{your}\:\mathrm{diagram}.\:\mathrm{I}\:\mathrm{underdtand}\:\mathrm{better}\:\mathrm{and}\:\mathrm{cleared}. \\ $$

Commented by mr W last updated on 01/Sep/23

also here you can not simply say that the   solution is wrong. it depends on how  you understand “cross the river” and  “direction of motion of boot”.   sometimes the language is just not  precise in mathematical sense. you  should have your own opinion.

$${also}\:{here}\:{you}\:{can}\:{not}\:{simply}\:{say}\:{that}\:{the}\: \\ $$$${solution}\:{is}\:{wrong}.\:{it}\:{depends}\:{on}\:{how} \\ $$$${you}\:{understand}\:``{cross}\:{the}\:{river}''\:{and} \\ $$$$``{direction}\:{of}\:{motion}\:{of}\:{boot}''.\: \\ $$$${sometimes}\:{the}\:{language}\:{is}\:{just}\:{not} \\ $$$${precise}\:{in}\:{mathematical}\:{sense}.\:{you} \\ $$$${should}\:{have}\:{your}\:{own}\:{opinion}. \\ $$

Commented by Tawa11 last updated on 01/Sep/23

I really appreciate your time sir.

$$\mathrm{I}\:\mathrm{really}\:\mathrm{appreciate}\:\mathrm{your}\:\mathrm{time}\:\mathrm{sir}. \\ $$

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