Answer:
3 cm, 4 cm, 5 cm
Step-by-step explanation:
In this question, the given value is
![cos \theta = 0.3090](https://tex.z-dn.net/?f=%20cos%20%5Ctheta%20%3D%200.3090%20)
And we have to find the value of sin theta and tan theta where theta is in first quadrant .
And in first quadrant, all are positive .
Now we use the formula, which is
![sin \theta = \sqrt{1-cos^2 \theta} = \sqrt{1 - 0.3090^2} = 0.9511](https://tex.z-dn.net/?f=%20sin%20%5Ctheta%20%3D%20%5Csqrt%7B1-cos%5E2%20%5Ctheta%7D%20%3D%20%5Csqrt%7B1%20-%200.3090%5E2%7D%20%3D%200.9511%20)
And tan theta is the ratio of sin theta and cos theta, that is
![tan \theta = \frac{sin \theta}{ cos \theta} = \frac{0.9511}{0.3090} =3.078](https://tex.z-dn.net/?f=%20tan%20%20%5Ctheta%20%3D%20%5Cfrac%7Bsin%20%5Ctheta%7D%7B%20cos%20%5Ctheta%7D%20%3D%20%5Cfrac%7B0.9511%7D%7B0.3090%7D%20%3D3.078%20)
So the correct option is B .
Answer:
2x+x+x+20=180
Step-by-step explanation:
Triangle Sum Theorem
first angle:x
Second: 2x
Third:x+20