Hello!
The answer is:
The first option,
![y=3.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/2cp7yvqn0k2sctw68lpc70bvb7u1j7dgb4.png)
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:
![Cos(64\°)=(y)/(8)\\\\0.44=(y)/(8)](https://img.qammunity.org/2020/formulas/mathematics/high-school/t7ork7fa81xkn36di4m5efaro4qwga00gi.png)
Multiplying each side of the equation by 8, we have:
![(0.44)*8=(y)/(8)*8\\3.52=y](https://img.qammunity.org/2020/formulas/mathematics/high-school/h7nwsflkg8hdr0rxx460olcsi7kc1z3say.png)
![y=3.52](https://img.qammunity.org/2020/formulas/mathematics/high-school/1fbag2wmx50mvde5xoaxteysb8caku0l1e.png)
Rounding to the nearest tenth, we have:
![y=3.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/2cp7yvqn0k2sctw68lpc70bvb7u1j7dgb4.png)
Hence, the answer is the first option,
![y=3.5](https://img.qammunity.org/2020/formulas/mathematics/high-school/2cp7yvqn0k2sctw68lpc70bvb7u1j7dgb4.png)
Have a nice day!