Respuesta :

hellofrom the question given, we have a triangle

let's use trigonometric ratio on this

SOHCAHTOA

[tex]\begin{gathered} \text{soh}=\sin \theta=\frac{opposite}{hypothenus} \\ \text{cah}=\cos \theta=\frac{adjacent}{hypothenus} \\ \text{toa}=\tan \theta=\frac{opposite}{adjacent} \end{gathered}[/tex]

in this question, we have the value of an angle, and opposite but we are to solve for hypothenus.

the only ratio that would work for this is sine angle

[tex]\begin{gathered} \sin \theta=\frac{opp}{hyp} \\ \theta=38^0 \\ \text{opp}=1.3 \\ \text{hyp}=x \\ \sin 38=\frac{1.3}{x} \\ 0.6157=\frac{1.3}{x} \\ x=\frac{1.3}{0.6157} \\ x=2.1 \end{gathered}[/tex]

from the calculations above, the value of x is equals to 2.1

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