Question

The diagram shows a right-angled triangle.

Answer 1

The length of the hypotenuse and the opposite side to angle x of the right triangle are 8 cm and 3 cm respectively, which gives angle x as approximately 22.0°

Which of the trigonometric ratios can be used to find x°?

A description of the parts of the triangle are;

Length of the hypotenuse side = 8 cm

Length of the opposite side to x° = 3 cm

The trigonometric ratio of the sine of x° is presented as follows;

$sin(x) = \frac{Opposite}{Hypotenuse}$

Therefore;

$sin(x) = \frac{3}{8}$

Which gives;

${x}^{ \circ} = arcsine \left( \frac{3}{8} \right) \approx {22.0}^{ \circ}$

• Angle x ≈ 22.0°

Learn more about trigonometric ratios of the cosine, sines, and tangent of angles here:

brainly.com/question/12172664

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