Question

I need help to solve this I don't quite understand how to do these

Answer 1

Recall the definition of the sine of an angle in a right triangle:

`\sin (A)=\frac{\text{Side opposite to A}}{\text{ Hypotenuse}}`

In the given diagram, the length of the side opposite to the angle of 53° has a length of 10, while the length of the hypotenuse is x. Then:

`\sin (53)=(10)/(x)`

Isolate x from the equation:

`x=(10)/(\sin (53))`

Use a calculator to find the value of the expression for x:

`\begin{gathered} x=12.52135658\ldots \\ \Rightarrow x\approx12.5 \end{gathered}`