Question

What is yhe best approximation of the value of w?

Answer 1

Answer

B) 4.0 cm

Explanation

First, we can adapt the law of sines to the notation of our triangle:

$\frac{sin(W)}{w} =\frac{sin(U)}{u}$

Now, we can infer from our diagram that $W=39$, $U=31$, and $u=3.3$, so we can replace the values in our previous expression:

$\frac{sin(W)}{w} =\frac{sin(U)}{u}$

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

Finally, we can solve for $w$:

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

$3.3sin(39)=wsin(31)$

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

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

$w=4.03224$

Which rounds to $w=4.0$

We can conclude that the best approximation of w is 4.0 cm

Answer 2

B 4.0 cm because if you think about it the one that says 3.3 cm is actually just slightly shorter than w so it has to be 4.0cm