Four? Isn't it stated in the question? Unless I am assuming wrong.
We can use the Sine Law:
a / sin A = b / sin B
16 / sin 22° = 25 / sin B
16 / 0.3746 = 25 / sin B
sin B = 25 · 0.3746 / 16
sin B = 0.5853
∠B = sin^(-1) 0.5853
∠B = 35.83° ≈ 35.8°
Answer: b. 35.8°
Answer:
Step-by-step explanation:
We could use the Law of Sines if we only knew what angle A was. It just so happens that by the Triangle Angle-Sum Theorem, angle A is equal to
180 - B - C. Therefore,
angle A = 180 - 11 - 75 so
angle A = 94. And the Law of Sines is
and cross multiply to get
600sin94 = asin11 and solve for a:
gives you that
a = 3136.85