Answer:
Approximately 13.9 units.
Step-by-step explanation:
First, note that ΔTVW is a right triangle.
Since we are given that ∠UTV is 112°, this means that ∠WTV is 68° because 180-112 is 68°.
Now that we know ∠WTV is 68°, we can use the basic trigonometric ratios to solve for VW. VW is the side opposite ∠WTV. We also know the hypotenuse. So, we would use sine. Recall that:
[tex]\sin(\theta)=opp/hyp[/tex]
Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:
[tex]\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9[/tex]
