Question
For the triangle shown <B= 40 degrees and CD=9
C
B
D
Solve for CB to the nearest tenth
C
B
D
Solve for CB to the nearest tenth
Answers
GPT 3.5
To solve for CB, we can use the Law of Sines.
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of the opposite angle is constant.
In this triangle:
BC/sin(40°) = CD/sin(B)
Plugging in the given values:
BC/sin(40°) = 9/sin(40°)
Rearranging the equation to solve for BC:
BC = (9/sin(40°)) * sin(40°)
Calculating this value, we find:
BC ≈ 9.2
Therefore, CB is approximately 9.2.
The Law of Sines states that in any triangle, the ratio of the length of a side to the sine of the opposite angle is constant.
In this triangle:
BC/sin(40°) = CD/sin(B)
Plugging in the given values:
BC/sin(40°) = 9/sin(40°)
Rearranging the equation to solve for BC:
BC = (9/sin(40°)) * sin(40°)
Calculating this value, we find:
BC ≈ 9.2
Therefore, CB is approximately 9.2.