Question

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

119 miles
61 miles
29 miles

Answer 1

[C] 29 Miles

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= (adj)/(hyp)`

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

Hence, we get,

`cos`
`45 = (x)/(41)`

Simplifying, we have,

`0.71 = (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]