Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
The 2x and 76 are opposite angles so they are equal.
2x = 76
x = 38 degrees
y and 76 are adjacent angles so y = 180 - 76
= 104 degrees
Step-by-step explanation:
4:16
No it's ok no need to thank me, it's my duty to help someone like you
Answer:
B. 16.7
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relationship between the side adjacent to the angle and the hypotenuse involves the cosine function:
Cos = Adjacent/Hypotenuse
Filling in the numbers from your diagram gives ...
cos(50°) = x/26
Multiplying by 26 gives x.
x = 26·cos(50°)
x ≈ 16.7
