In this triangle, what is the value of x?Enter your answer, rounded to the nearest tenth, in the box.x = ____ km

Answer: [tex]x=56.5\ km[/tex]Step-by-step explanation: Given the right triangle in the image, you need to remember the following identity: [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] Observe the triangle. You can identify that: [tex]\alpha=28\°\\adjacent=x\\hypotenuse=64[/tex] Then, knowing these values, you can substitute them into  [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]: [tex]cos(28\°)=\frac{x}{64}[/tex] Finally, you have to solve for "x". Therefore, the value of "x" rounded to the nearest tenth is: [tex]64*cos(28\°)=x\\x=56.5\ km[/tex]