Question

In right triangle XYZ, sin(X)/YZ= .0448. What is the approximate length of side XZ?

Answer 1

`(sinX)/(YZ)=0.0448`

But we know that sin X = opposite/hypotenuse = YZ/XZ.

`\begin{gathered} ((YZ)/(XZ))/(YZ)=0.0448 \\ \\ (YZ)/(XZ)*(1)/(YZ)=0.0448 \\ \\ (1)/(XZ)=0.0448 \\ \\ (1)/(0.0448)=XZ \\ \\ 22.32=XZ \end{gathered}`

XZ = 22.32

When dividing fractions, we multiply the dividend (the numerator) by the reciprocal of the divisor (the denominator).

`(1)/(0.0448)=23.3214`