LiviI465223 LiviI465223
  • 03-11-2022
  • Mathematics
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A right triangle is shown. 15 220 Which is closest to the value of x ? (G.8c)(1 point) O A. 13.9 O B. 6.1 o C. 5.6 OD 9.0

A right triangle is shown 15 220 Which is closest to the value of x G8c1 point O A 139 O B 61 o C 56 OD 90 class=

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NiasiaF197995 NiasiaF197995
  • 03-11-2022

1) Let's use a trigonometric ratio to find the value of x. In this case,

[tex]\begin{gathered} \sin (22)=\frac{opposite}{\text{hypotenuse}} \\ \sin (22)\text{ =}\frac{x}{15} \\ 0.3746=\frac{x}{15} \\ \text{Multiply both sides by 15} \\ x=5.619 \end{gathered}[/tex]

2) Now let's check the options and round the solution, we've just found.

5.619≅ 5.6

3) So the answer is C

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