1 Answer

Adamfinstorp · Answer 1 · 2023-03-22T16:02:46+0000

We can represent the information in a diagram:

Therefore, the triangle can be brought out as

To find the value of the unknown side, x, we can use the Pythagorean Theorem:

Therefore,

$\begin{gathered} 13^2=12^2+x^2 \\ x^2=13^2-12^2 \\ x^2=169-144=25 \\ x=\sqrt[]{25} \\ x=5 \end{gathered}$

Therefore, sin θ can be given using the ratio opposite : hypotenuse.

Hence

$\sin \theta=(5)/(13)$

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