Question

5 points Find x. Please round your answer off to the nearest whole number. 6 to 13 Your answer 5 points Please round your answer off to the nearest HUNDRETH. (#.##)

Answer 1

Since it is a right triangle then you can use the trigonometric ratio

`\sin (\theta)=\frac{\text{ opposite leg of }\theta}{\text{ hypotenuse}}`

In this case, you have

`\begin{gathered} \text{opposite leg of x = 6 } \\ \text{hypotenuse = 13} \end{gathered}`

Then,

`\begin{gathered} \sin (x)=(6)/(13) \\ \text{ Using the inverse function }\sin ^(-1)(\theta)\text{ on both sides of the equation} \\ \sin ^(-1)(\sin (x))=\sin ^(-1)((6)/(13)) \\ x=\sin ^(-1)((6)/(13)) \\ x=27.486\text{\degree} \\ \text{ Rounding} \\ x=28\text{\degree} \end{gathered}`