Question

In △ UVW, w=1.4cm, ∠ W=63° and ∠ U=29°. Find the length of v, to the nearest 10th of a centimeter.

Answer 1

To find the length of side v in triangle UVW, we can use the Law of Sines. Using the given angle measures and the Law of Sines formula, we can find that v is approximately 0.898 cm.

Step-by-step explanation:

Let's use the Law of Sines to find the length of side v in triangle UVW. The Law of Sines states that the ratios of the lengths of the sides of a triangle to the sines of their opposite angles are equal. In this case, we can set up the equation:

(w/sin(W)) = (v/sin(V))

Substituting the known values, we have:

(1.4/sin(63°)) = (v/sin(29°))

Now, we can solve for the length of side v by cross multiplying and dividing:

v = (1.4 x sin(29°)) / sin(63°)

v ≈ 0.898 cm