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A ferry boat heads across the river. Due to the current, the boat travels at an angle of 15 degrees north of west. If the boat traveled a total 178 yards, how far did it travel north and how far did it travel west?

Answer :

raphealnwobi

46 yards was travelled north while 172 yards was travelled west.

Trigonometric ratios shows the relationship between the sides of a triangle and its angles.

For the question, the distance travelled north and distance travelled west can be determined using trigonometric ratio.

sin(15) = distance travelled north / 178

Distance travelled north = 46 yards

Also:

cos(15) = distance travelled west / 178

Distance travelled west = 172 yards

Hence, 46 yards was travelled north while 172 yards was travelled west.

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