Respuesta :

Answer: 1.67 kilometers.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. You have a right triangle, as you can see in the figure attached, where the angle is 37° ([tex]\alpha[/tex]), the hypotenuse is 2.1 and you can call [tex]x[/tex] the distance between Stella and the skydiving center, which is the adjacent side of the triangle.

2. Therefore, you have:

[tex]cos(\alpha)=\frac{adjacent}{hypotenuse}[/tex]

3. Substitute values and solve for [tex]x[/tex]:

[tex]cos(37)\frac{x}{2.1}\\x=(2.1)[cos(37)]\\x=1.67[/tex]