Question

solve for $x$. round to the nearest tenth of a degree, if necessary.
answer
$x =$

Explanation:

Step1: Use the tangent function

In a right - triangle, \(\tan x=\frac{\text{opposite}}{\text{adjacent}}\). Here, the opposite side to angle \(x\) is \(UV = 5.4\) and the adjacent side is \(VW=9.9\). So, \(\tan x=\frac{5.4}{9.9}\).

Step2: Solve for \(x\)

Take the inverse tangent (arctan) of both sides. \(x=\arctan(\frac{5.4}{9.9})\).
Using a calculator, \(\frac{5.4}{9.9}\approx0.545454\). Then \(x = \arctan(0.545454)\approx28.6^{\circ}\)

Answer:

\(28.6\)