Instructions: Find the missing side. Round your answer to the nearest tenth.
28°
х
23
1 answer:
Answer:
x=49.0
Step-by-step explanation:
Hi there!
In this right triangle, we're given an angle and the opposing side, and we're trying to solve for the length of the hypotenuse.
In this situation, we can use the sine ratio:
![sin\theta=\frac{opp}{hyp}](https://tex.z-dn.net/?f=sin%5Ctheta%3D%5Cfrac%7Bopp%7D%7Bhyp%7D)
Plug in the known information
![sin(28)=\frac{23}{x}\\x=\frac{23}{sin(28)}\\x=49.0](https://tex.z-dn.net/?f=sin%2828%29%3D%5Cfrac%7B23%7D%7Bx%7D%5C%5Cx%3D%5Cfrac%7B23%7D%7Bsin%2828%29%7D%5C%5Cx%3D49.0)
Therefore, the length of the missing side is 49.0 units when rounded to the nearest tenth.
I hope this helps!
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