Question

Please answer correct answer now fast

Answer 1

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:

$\sin(\theta)=opp/hyp$

Plug in 68° for theta, VW for the opposite, and 15 for the hypotenuse:

$\sin(68)=VW/15\\VW=15\sin(68)\\VW\approx13.9078\approx13.9$