Final answer:
To find the length of side W in a triangle, we can use the Law of Sines, which relates the lengths of the sides and the angles of a triangle. By setting up a proportion and solving for W, we find that W is approximately 49.29 inches.
Step-by-step explanation:
To find the length of side W in triangle WXY, 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 its opposite angle is constant. In this case, we can set up the proportion:
W / sin(WXY) = XY / sin(W)
Substituting the given values:
- W / sin(141°) = 7.3 / sin(8°)
- W / 0.9427 = 7.3 / 0.1392
- W = 0.9427 * (7.3 / 0.1392)
- W ≈ 49.29 inches