1 Answer

Desval · Answer 1 · 2023-04-24T12:51:41+0000

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:

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

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