Answer:
6.7 cm
Step-by-step explanation:
To make use of the Law of Sines for finding b, you need to know the missing angle B. Since the sum of the angles of a triangle is 180°, you can find angle B as ...
B = 180° -82° -55° = 43°
Now, you put the numbers you know into the formula given and solve for b.
sin(A)/a = sin(B)/b
sin(55°)/(8 cm) = sin(43°)/b
Cross multiplying gives ...
b·sin(55°) = (8 cm)·sin(43°)
and dividing by the coefficient of b gives you ...
b = (8 cm)·sin(43°)/sin(55°) ≈ 6.7 cm
Answer:
(-2,-6)
Step-by-step explanation:
Use cosine rule to find b
b^2 = 6^2 + 11^2 - 2*6*11cos 109 = 199.97
b = 14.1 to nearest tenth.
now use sine rule to find the value of < A
14.14 / sin 109 = 6 / sin A
<A = 24 degrees
<C = 180 - 24 - 109 = 47 degrees
Its A
the answer =8.3,,,,,,,,,,,,,,,,,,,,,,