Question

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

Answer 1

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

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

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