Respuesta :

Answer:

10.8

Step-by-step explanation:

Law of Sines!

---------------------------------------------------------------Following the law of sines you get

x / sin34 = 16 / sin56

x / 0.559192903 = 16 / 0.829037573

x / 0.559192903 = 19.2994872

x = 10.7921363

x=10.8

Hope this Helps!

Answer:

10.8 units

Step-by-step explanation:

You need to use trig. equations for this problem, since it gives you one sides and an angle for a right triangle before asking you for the third side.

In this situation, they give you the adjacent side relative to the 34 degree angle and asks you to solve for the opposite side. Therefore you need to use tangent, since it's the only equation in which you don't need the hypotenuse.

The tangent rule states:

Tan(x) = opposite / adjacent

So:

Tan(34) = x / 16

x = (tan(34)) * 16

x = (0.67451) * (16) = 10.7921

Rounding to the nearest tenth, you get 10.8