What is yhe best approximation of the value of w? A) 1.4 cm B) 4.0 cm C) 6.0 cm D) 7.3 cm

Question

asked Apr 5, 2019 75.4k views

2 Answers

CliffC · Answer 1 · 2019-04-05T19:09:49+0000

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

Sirena · Answer 2 · 2019-04-09T05:27:33+0000

B) 4.0 cm

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

(sin(W))/(w) =(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:

(sin(W))/(w) =(sin(U))/(u)

(sin(39))/(w) =(sin(31))/(3.3)

Finally, we can solve for
:

(3.3sin(39))/(w) =sin(31)

3.3sin(39)=wsin(31)

(3.3sin(39))/(sin(31)) =w

w=(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