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Answered

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Sagot :

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;

https://brainly.com/question/11967894

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