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Use a table of trigonometric values to find the angle θ in the right triangle in the following problem. Round to the nearest degree, if necessary.
sin θ = ? O = 8 H = 16

Respuesta :

The value of θ in the given triangle is equal to 30 degrees.

Data;

  • opposite = 8
  • hypothenuse = 16
  • sin θ = ?

Trigonometric Ratios

To solve this problem, we have to use trigonometric ratios on this which is SOHCAHTOA.

since sin θ is the ratio between the opposite side to the hypothenuse,

[tex]sin\theta = \frac{opposite}{hypothenuse}[/tex]

Let's substitute the values into the function and solve.

[tex]sin\theta = \frac{8}{16} \\\theta = sin^-^1 (0.5)\\\theta = 30^0[/tex]

The value of θ is equal to 30 degrees.

Learn more on trigonometric ratios here;

https://brainly.com/question/24349828

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