Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place.
-B =

Question

Refer to the figure and use the given information to solve the triangle. Round angles to the nearest degree and side
lengths to one decimal place. 
-B =

Quizplus · Accepted Answer

Since we know two sides and the included angle, we can use the Law of Cosines to solve for the third side and the other two angles.
c² = a² + b² - 2ab*cos(C)
c² = 6² + 10² - 2(6)(10)*cos(67)
c ≈ 8.3
Now we can use the Law of Sines to solve for the remaining angles:
sin(A)/6 = sin(67)/8.3
A ≈ 40°
sin(B)/10 = sin(67)/8.3
B ≈ 73°
Therefore, the triangle has angles: A ≈ 40°, B ≈ 73°, and C ≈ 67°, and side lengths a ≈ 6, b ≈ 10, and c ≈ 8.3. The best choice is C.

Refer to the Figure and Use the Given Information to Solve