<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;
![sin \ \theta=\frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%20%5C%20%5Ctheta%3D%5Cfrac%7Bopp%7D%7Bhyp%7D)
Substituting the values, we get;
![sin \ 42^{\circ}=\frac{x}{8}](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%3D%5Cfrac%7Bx%7D%7B8%7D)
Multiplying both sides of the equation by 8, we get;
![sin \ 42^{\circ}\times8=x](https://tex.z-dn.net/?f=sin%20%5C%2042%5E%7B%5Ccirc%7D%5Ctimes8%3Dx)
Simplifying, we get;
![0.669 \times 8=x](https://tex.z-dn.net/?f=0.669%20%5Ctimes%208%3Dx)
![5.352\approx x](https://tex.z-dn.net/?f=5.352%5Capprox%20x)
Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Here you go!! Hope it helps !!
Your answer would be -11.
One <u>possible story</u> is:
I had 5 apples. My sister gave me 7, and now I have 12.
Explanation:
We are writing a story for 5+7=12. This means we need to start with 5 objects and somehow gain 7 more. In our story, we start with 5 apples and we get 7 more.
The last part is that our total must be 12. In our story, we end with 12 apples.