Question

A vessel sails 41 miles S 45 E. How far south has it sailed?

Answer 1

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,

$Cos 0= \frac{adj}{hyp}$

Substituting $0 = 45$° , $adj = x$, and $hyp = 41$

Hence, we get,

$cos$ $45 = \frac{x}{41}$

Simplifying, we have,

$0.71 = \frac{x}{41}$

Multiplying both sides by 41, we have,

$29.11 = x$

Rounding off to the nearest integer, we have,

$29 = x$

Thus, the vessel has sailed 29 miles South.

Therefore, Option C is the correct answer.

[RevyBreeze]