Question

In the triangle below,x = [? ] cm. Round to thenearest tenth.15 cmX35090

Answer 1

Answer:

8.6 cm

Explanations:

The given triangle is a right angled triangle

`\begin{gathered} \theta=35^0 \\ \text{Hypotenuse = 15 cm} \\ \text{Opposite = x} \end{gathered}`

Using the trigonometric identity below:

`\begin{gathered} \sin \theta=\text{ }\frac{Opposite}{\text{Hypotenuse}} \\ \sin 35=\text{ }(x)/(15) \\ x\text{ = 15sin35} \\ x\text{ = 15}*0.57 \\ x\text{ = }8.55 \\ x\text{ = 8.6 cm (to the nearest tenth)} \end{gathered}`