The value of c is equal to [tex]7\sqrt{2}[/tex]
Data:
- Opposite = 7
- Angle = 45 degrees
- hypothenuse = c
Trigonometric Ratio
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.
[tex]sin \theta = \frac{opposite}{hypothenuse}[/tex]
Let's substitute the values into the formula
[tex]sin45 = \frac{7}{c}\\ c = \frac{7}{sin 45} \\c = 7\sqrt{2}[/tex]
The value of c is equal to [tex]7\sqrt{2}[/tex]
Learn more on trigonometric ratio here;
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