Question

Right triangle Trigonometry problemIll send a picture of the question

Answer 1

Given:

In a right triangle,

The opposite side is

`8\sqrt[]{2}\text{ inches}`

The angle is 45 degrees.

To find the length of the hypotenuse side:

Using the trigonometric ratio,

`\begin{gathered} \sin \theta=\frac{Opp}{\text{Hyp}} \\ \sin 45^(\circ)=\frac{8\sqrt[]{2}}{Hyp} \\ \frac{1}{\sqrt[]{2}}=\frac{8\sqrt[]{2}}{Hyp} \\ \text{Hyp}=8\sqrt[]{2}*\sqrt[]{2} \\ \text{Hyp}=16\text{ inches} \end{gathered}`

Hence, the length of the hypotenuse side is 16 inches.