Question

Find x. Round your answer to the nearest integer.15X37O A. 8

Answer 1

Exercise is for a right triangle, then we can use triconometric ratios, on this case we will use sine

`\sin (\alpha)=(O)/(H)`

where alpha is the reference angle, O the opposite side to the reference angle and H the hypotenuse of the triangle

then using 37° as reference angle we replace

`\sin (37)=(x)/(15)`

and solve for x

`\begin{gathered} 15\sin (37)=x \\ x=9.027 \end{gathered}`

the rounded value of x is 9, then right option is C