Answer:
Question 3: Sin(B) = 5/9.43, Cos(B) = 8/9.43, Tan(B) = 5/8
Question 4: Angle A = 40 Degrees
Question 5: x = 39.5 mm
Explanation:
Question 3: the three ratios are Sin(θ) = Opposite/Hypotenuse, Cos(θ) = Adjacent/Hypotenuse, and Tan(θ) = Opposite/Adjacent. Replace θ with designated Angle and fill in the values correlating to that angle.
Question 4: The given information we have is the hypotenuse, and the length of side adjacent to angle A; Therefore, we would use the ratio of Cos(A) = 47/61, but to solve for angle we use Cos^-1(47/61) to get Angle (A) = 39.6, rounded to whole -> 40 Degrees.
Question 5: We have the angle and its opposite while trying to find its adjacent, so we use the ratio Tan(θ) = Opposite/Adjacent -> Tan(28) = 21/x to get x = 39.5 mm.
I hope this helps!