Question

The information in the following problem allows you to construct 2 triangles, find C and C2. A = 30°, a = 1.5 m, b = 2 m, C = 48.2, C2 = 41.8°

A. C = 41.8°, C2 = 138.2°
B. C1 = 108.2°, C2 = 11.8°
C. C = 41.8°, C2 = 138.2°
D. Not enough information

Answer 1

The value of C and C2 to construct a triangle is C = 41.8°, C2 = 138.2°

Therefore, correct answer is C. C = 41.8°, C2 = 138.2°

Step-by-step explanation:

To find C and C2, we can use the Law of Sines for triangles. The law states that the ratio of the length of a side to the sine of its opposite angle is constant for all three sides and angles in a triangle. Given the information, we can use the Law of Sines to calculate C and C2. Solving the equations, we find that C is approximately 41.8°, and C2 is approximately 138.2°.

Understanding the Law of Sines is essential in solving trigonometric problems involving triangles. It provides a valuable tool for finding unknown angles and sides in non-right-angled triangles. Proficiency in trigonometry is fundamental in various fields, including physics, engineering, and geometry.

Therefore, correct answer is C. C = 41.8°, C2 = 138.2°