Respuesta :

Hello!

The answer is:

The first option,

[tex]y=3.5[/tex]

Why?

To solve the problem, we need to follow the next steps:

- Set your calculator in degree mode to calculate Cos(64°)

- Isolate Y by multiplying each side of the equation by 8.

Solving we have:

[tex]Cos(64\°)=\frac{y}{8}\\\\0.44=\frac{y}{8}[/tex]

Multiplying each side of the equation by 8, we have:

[tex](0.44)*8=\frac{y}{8}*8\\3.52=y[/tex]

[tex]y=3.52[/tex]

Rounding to the nearest tenth, we have:

[tex]y=3.5[/tex]

Hence, the answer is the first option,

[tex]y=3.5[/tex]

Have a nice day!