Answer:
[C] 29 Miles
Step-by-step explanation:
Given that the vessel sails 41 miles S 45° E.
We need to determine the how far south the vessel has sailed.
Let us use the Pythagorean theorem to find the distance of the vessel has sailed.
Thus, we have,
[tex]Cos 0= \frac{adj}{hyp}[/tex]
Substituting [tex]0 = 45[/tex]° , [tex]adj = x[/tex], and [tex]hyp = 41[/tex]
Hence, we get,
[tex]cos[/tex] [tex]45 = \frac{x}{41}[/tex]
Simplifying, we have,
[tex]0.71 = \frac{x}{41}[/tex]
Multiplying both sides by 41, we have,
[tex]29.11 = x[/tex]
Rounding off to the nearest integer, we have,
[tex]29 = x[/tex]
Thus, the vessel has sailed 29 miles South.
Therefore, Option C is the correct answer.
[RevyBreeze]
