Answer:
![A=60^0, B=30^0, C=90^0\\a=3.46, b=2, c=4](https://tex.z-dn.net/?f=A%3D60%5E0%2C%20B%3D30%5E0%2C%20C%3D90%5E0%5C%5Ca%3D3.46%2C%20b%3D2%2C%20c%3D4)
Step-by-step explanation:
In the diagram below:
First, we determine the value of ![\beta](https://tex.z-dn.net/?f=%5Cbeta)
![\alpha+\beta=90^0 $ (Other Angles of a Right Triangle)$\\60+\beta=90^0\\\beta=90^0-60^0=30^0](https://tex.z-dn.net/?f=%5Calpha%2B%5Cbeta%3D90%5E0%20%24%20%20%28Other%20Angles%20of%20a%20Right%20Triangle%29%24%5C%5C60%2B%5Cbeta%3D90%5E0%5C%5C%5Cbeta%3D90%5E0-60%5E0%3D30%5E0)
To determine the value of side a, we apply the Sine rule
![\dfrac{c}{Sin C} =\dfrac{a}{Sin \alpha} \\\dfrac{4}{Sin 90}=\dfrac{a}{Sin 60}\\ a=\dfrac{4*sin60}{sin 90}\\a=3.46](https://tex.z-dn.net/?f=%5Cdfrac%7Bc%7D%7BSin%20C%7D%20%3D%5Cdfrac%7Ba%7D%7BSin%20%5Calpha%7D%20%5C%5C%5Cdfrac%7B4%7D%7BSin%2090%7D%3D%5Cdfrac%7Ba%7D%7BSin%2060%7D%5C%5C%20a%3D%5Cdfrac%7B4%2Asin60%7D%7Bsin%2090%7D%5C%5Ca%3D3.46)
Similarly, to determine the value of side b, we apply the Sine rule
![\dfrac{c}{Sin C} =\dfrac{b}{Sin \beta} \\\dfrac{4}{Sin 90}=\dfrac{b}{Sin 30}\\ b=\dfrac{4*sin30}{sin 90}\\b=2](https://tex.z-dn.net/?f=%5Cdfrac%7Bc%7D%7BSin%20C%7D%20%3D%5Cdfrac%7Bb%7D%7BSin%20%5Cbeta%7D%20%5C%5C%5Cdfrac%7B4%7D%7BSin%2090%7D%3D%5Cdfrac%7Bb%7D%7BSin%2030%7D%5C%5C%20b%3D%5Cdfrac%7B4%2Asin30%7D%7Bsin%2090%7D%5C%5Cb%3D2)
Therefore:
![A=60^0, B=30^0, C=90^0\\a=3.46, b=2, c=4](https://tex.z-dn.net/?f=A%3D60%5E0%2C%20B%3D30%5E0%2C%20C%3D90%5E0%5C%5Ca%3D3.46%2C%20b%3D2%2C%20c%3D4)
Answer:
A. 42.59
B. 37.155
Step-by-step explanation:
I used a round calculator by the way
Answer:
145 degrees (c)
Step-by-step explanation:
Take your smallest interior angle (35 degrees) & subtract it from 180.
That will give you your largest exterior angle.
180 - 35 = 145 degrees
Hope this helped. :)
W?
you mean x or z or O ???
xoxo
Answer:
42 i think
Step-by-step explanation: