We are asked to find the value of sinθ
Recall from the trigonometric ratios,
[tex]\sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
Since it is a right-angled triangle, we can find the length of the third side by using the Pythagorean theorem.
[tex]\begin{gathered} a^2+b^2=c^2 \\ a^2=c^2-b^2 \\ a^2=25^2-7^2 \\ a^2=625-49 \\ a^2=576 \\ a=\sqrt[]{576} \\ a=24 \end{gathered}[/tex]
Now we can find the value of sinθ
[tex]\sin \theta=\frac{\text{Opposite}}{\text{Hypotenuse}}=\frac{24}{25}=0.96[/tex]
Therefore, the value of sinθ is
[tex]\sin \theta=\frac{24}{25}[/tex]
