Question Number 180954 by Tawa11 last updated on 19/Nov/22
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?
Answered by mr W last updated on 19/Nov/22
Commented by mr W last updated on 19/Nov/22
$$\theta=\mathrm{180}°−\mathrm{tan}^{−\mathrm{1}} \frac{\mathrm{20}}{\mathrm{12}}=\mathrm{120}.\mathrm{96}° \\ $$$${v}_{{Boat}} =\sqrt{\mathrm{12}^{\mathrm{2}} +\mathrm{20}^{\mathrm{2}} }=\mathrm{23}.\mathrm{32}\:{kn} \\ $$
Commented by Tawa11 last updated on 19/Nov/22
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$
Commented by mr W last updated on 20/Nov/22
$${do}\:{you}\:{think}\:{this}\:{is}\:{correct}?\:{it}\:{is} \\ $$$${only}\:{said}\:“{across}\:{the}\:{river}''.\:{it}\:{doesn}'{t} \\ $$$${mean}\:{taking}\:{the}\:{shortest}\:{distance}, \\ $$$${or}\:{upright}\:{to}\:{the}\:{direction}\:{of}\:{water} \\ $$$${flow}.\:{in}\:{real}\:{life}\:{almost}\:{nobody}\:{does} \\ $$$${in}\:{this}\:{way},\:{as}\:{you}\:{may}\:{have}\:{observed} \\ $$$${by}\:{yourself}. \\ $$$${the}\:{dotted}\:{arrows}\:{show}\:{what}\:{people} \\ $$$${in}\:{real}\:{life}\:{do}. \\ $$
Commented by mr W last updated on 20/Nov/22
