The value of c is equal to ![7\sqrt{2}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D)
Data:
- Opposite = 7
- Angle = 45 degrees
- hypothenuse = c
<h3>Trigonometric Ratio</h3>
To solve this problem, we need to use trigonometric ratio SOHCAHTOA.
Since we have opposite and hypothenuse value, we can use sine angle for this.
![sin \theta = \frac{opposite}{hypothenuse}](https://tex.z-dn.net/?f=sin%20%5Ctheta%20%3D%20%5Cfrac%7Bopposite%7D%7Bhypothenuse%7D)
Let's substitute the values into the formula
![sin45 = \frac{7}{c}\\ c = \frac{7}{sin 45} \\c = 7\sqrt{2}](https://tex.z-dn.net/?f=sin45%20%3D%20%5Cfrac%7B7%7D%7Bc%7D%5C%5C%20c%20%3D%20%5Cfrac%7B7%7D%7Bsin%2045%7D%20%5C%5Cc%20%3D%207%5Csqrt%7B2%7D)
The value of c is equal to ![7\sqrt{2}](https://tex.z-dn.net/?f=7%5Csqrt%7B2%7D)
Learn more on trigonometric ratio here;
brainly.com/question/11967894