Answer: 331.01 meters.
Step-by-step explanation:
1. You can draw a right triangle as the one shown in the figure attached, where the lenght of the mine shaft is represented with x.
2. Therefore, you can find the lenght of the mine shaft as following:
[tex]sin(\alpha)=\frac{opposite}{hypotenuse}[/tex]
Where:
[tex]\alpha=65\°\\opposite=300\\hypotenuse=x[/tex]
2. Now, you must substitute values and solve for x. Then, you obtain the following result:
[tex]sin(65\°)=\frac{300}{x}\\x=\frac{300}{sin(65\°)}\\x=331.01[/tex]
