Answer: [tex]y=6.0[/tex]
Step-by-step explanation:
The trigonometric identity you can use to calculate the value of "y" is:
[tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex]
Where the angle [tex]\alpha=53\°[/tex], the adjacent side is "y" and the hypotenuse of the right triangle is 10:
[tex]\alpha=53\°\\adjacent=y\\hypotenuse=10[/tex]
Substitute these values into [tex]cos\alpha=\frac{adjacent}{hypotenuse}[/tex] and solve for the adjacent side "y":
[tex]cos(53\°)=\frac{y}{10}\\(10)(cos(53\°))=y\\6.01=y[/tex]
Rounded to the nearest tenth:
[tex]y=6.0[/tex]
