Answer:
(B)
Step-by-step explanation:
It is given that a boat is crossing the river, then the angle at which the boat must head upriver in order to travel directly across the river will be:
Using the trigonometry, we have
[tex]\frac{5}{14}=tanx^{\circ}[/tex]
⇒[tex]x^{\circ}=tan^{-1}(\frac{5}{14})[/tex]
⇒[tex]x^{\circ}=19.65[/tex]
⇒[tex]x^{\circ}[/tex]≈[tex]19.7 north of west[/tex]
The boat is heading upriver from west to north, thus the angle at which the boat must head upriver in order to travel directly across the river will be 19.7 north of west.
Thus, option B is correct.
