I believe the answer is Diane brought 4 pounds of coffee.
The interior angles of a triangle add up to 180
180 - 97 - 34 = 49
150 / Sin 34 = b / Sin 49
multiply both sides by Sin 49
(Sin (49)* 150) / Sin 34 = b
b = 270.39 feet
Answer: 125 yards?
Step-by-step explanation:
I'll write "x" instead theta.
sin x + 1 = cos(2x)
formula: cos(2x) = 1 - 2sin²x
sin x + 1 = 1 - 2sin²x
2sin²x + sin x = 0
sin x (2sin x + 1) = 0
sin x = 0 or sin x = -1/2
x1 = πk and x2 = -π/6 + 2πk and
x3 = 5π/6 + 2πk
for domain 0≤x<2π :
x1 = 0 (for k=0 in x1)
x2 = π (for k=1 in x1
x3 = 11π/6 (for k=1 in x2)
x4 = 5π/6 (for k=0 in x3).
k is an integral.
