Answer:
The shipmate must travel 54.48 miles to the south
Step-by-step explanation:
We need to know how many miles south the shipmate traveled. So, we need to find the opposite side of the 27 ° angle shown in the triangle of the attached image.
To find this distance we use the following identity:
[tex]sin(\theta) = \frac{lado\ opuesto}{hipotenusa}[/tex]
We know that the angle [tex]\theta[/tex] = 27 °.
So:
[tex]sin(27\°) = \frac{x}{120}\\\\x = 120sin(27)\\\\x = 54.48\ millas[/tex]
The shipmate must travel 54.48 miles to the south
