Use the laws of Sines and law of cosines to find missing Dimensions. Part 2
2 answers:
9514 1404 393
Answer:
13. (A, b, C) = (30.66°, 91.042, 25.34°)
14. insufficient information
Step-by-step explanation:
13. The Law of Cosines can help you find the side opposite the given angle. Then that can be used with the Law of Sines to find the other angles.
b = √(a² +c² -2ac·cos(B)) = √(56² +47² -2(56)(47)cos(124°)) ≈ √8288.59
b ≈ 91.042
__
A = arcsin(a/b·sin(B)) ≈ arcsin(56/91.042·sin(124°)) ≈ 30.66°
C = 180° -124° -30.66° = 25.34°
The missing dimensions are (A, b, C) = (30.66°, 91.042, 25.34°).
__
14. One side and one angle do not define a unique triangle. There is insufficient information to find f.
You might be interested in
First we compute the distance between the center and the given point which is exactly the radius
r =
Now that we know the center and the radius, we can write the equation of a circle with given radius and center:
where (h,k) represent the coordinates of the center (3,7).
We substitute and obtain