Answer: 51.4°
Step-by-step explanation:
Use law of cosines:
(because you are trying to find angle B, you need to use Cos B)
Cos B = c² + a²-b²/ 2ca
Then, plug in your numbers:
Cos B = 30²+64²-51²/ 2(30)(64)
Simplify:
Cos B = 0.6237
Next, to get rid of Cos B, so that we have just B, you need to do the Arccosine or 0.6237:
B = arccosine (0.6237)
Which gets you: 51.4°
The measure of angle B is 51.41 degrees after applying the cos law of the triangle.
In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have given a triangle in the figure:
To find the measure of the angle B
We can apply cos law:
c² = a² + b² - 2ab cosB
The a, b, and c represents the side lengths of the triangle and the measures are:
a = 30
b = 64
c = 51
51² = 30² + 64² - 2(30)(64) cosB
3840CosB = 4996 - 2601
3840CosB = 2395
CosB = 2395/3840
CosB = 0.623
B = Cos⁻¹(0.623)
B = 51.41 degrees
Thus, the measure of angle B is 51.41 degrees after applying the cos law of the triangle.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
