Answer:
8.6 cm
Explanations:
The given triangle is a right angled triangle
[tex]\begin{gathered} \theta=35^0 \\ \text{Hypotenuse = 15 cm} \\ \text{Opposite = x} \end{gathered}[/tex]
Using the trigonometric identity below:
[tex]\begin{gathered} \sin \theta=\text{ }\frac{Opposite}{\text{Hypotenuse}} \\ \sin 35=\text{ }\frac{x}{15} \\ x\text{ = 15sin35} \\ x\text{ = 15}\times0.57 \\ x\text{ = }8.55 \\ x\text{ = 8.6 cm (to the nearest tenth)} \end{gathered}[/tex]
