Answer :

The figure for the intersection of side is,

For the angle theta perpendicular side is p=8 and base side is b=36.

Determine the length of hypotenuse side by using pythagoras theorem.

[tex]\begin{gathered} h=\sqrt[]{p^2+b^2} \\ =\sqrt[]{(8)^2+(6)^2_{}} \\ =\sqrt[]{64+36} \\ =\sqrt[]{100} \\ =10 \end{gathered}[/tex]

Determine the trigonometric ratio csc theta for the given triangle.

[tex]\begin{gathered} \csc \theta=\frac{h}{p} \\ =\frac{10}{8} \\ =\frac{5}{4} \end{gathered}[/tex]

So answer is 5/4.

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