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The diagonal of a TV is 28 inches long. Assuming that this diagonal forms a
pair of 30-60-90 right triangles, what are the exact length and width of the TV?
A. 56 inches by 56,5 inches
B. 14 inches by 14/3 inches
C. 56/2 inches by 56.2 inches
D. 14.2 inches by 14.2 inches

Respuesta :

Answer:

its B 14 inches by 14/3 inches

Step-by-step explanation:

Using trigonometric ratios, the exact length and width of the TV is 14 inches by 14[tex]\sqrt{3}[/tex] inches.

What are trigonometric ratios ?

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).

In ΔABC,

[tex]sin A = \frac{BC}{AC} \\ \\sin30 = \frac{BC}{28} \\\\BC = 28 * 1/2 = 14 \\\\cosA = \frac{AB}{AC}\\ \\cos30 = \frac{AB}{28}\\ \\AB = 14\sqrt{3}[/tex]

Learn more about trigonometric ratios here

https://brainly.com/question/12081744
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