Question

For questions 6 – 10, find the unknown side length. number 9

Answer 1

Okay, here we have this:

Considering the provided figure, we are going to calculate the requested measure, so we obtain the following:

We can see that the figure in question corresponds to a right triangle, for which we can use the trigonometric ratios, so in this case we know the measure of an angle, the hypotenuse and we want to know the opposite leg, so we will use the sine ratio because it relates given measurements, then we have:

`\begin{gathered} sin(45\text{\degree})=(s)/(14) \\ s=sin(45\text{\degree})\cdot14 \\ s=(√(2))/(2)\cdot14 \\ s=(14√(2))/(2) \\ s=7√(2) \\ s\approx9.89 \end{gathered}`

Finally we obtain that the exact answer is 7√ unitsand decimal approximation is 9.89 units.