Question

Use the law of sines to find the value of w.

Answer 1

Answer:

it is the answer b 4.0 cm

Step-by-step explanation:

Answer 2

Option B: 4.0 cm is the value of w

Explanation:

It is given that $\angle W= 39$, $\angle U=31$, $VW=3.3$ and $UV=w$

Using the law of sines, we have,

$\frac{sin U}{3.3} =\frac{sin W}{w}$

Substituting the values, we have,

$\frac{\sin 31}{3.3}=\frac{\sin 39}{w}$

Cross multiplying, we get,

$(sin31) w=3.3( \sin 39)$

Simplifying, we have,

$0.515w=2.077$

Dividing both sides by 0.515, we have,

$w=4.0$

Thus, the value of w is 4.0 cm

Hence, Option B is the correct answer.