Question

solve for x. round to the nearest tenth, if necessary. (triangle with right angle at u, side ui = 1, angle at t is 50 degrees, side uv = x) answer attempt 1 out of 2 x = blank submit answer

Explanation:

Step1: Identify trigonometric ratio

In right triangle \(UTV\), \(\angle T = 50^\circ\), opposite side to \(\angle T\) is \(x\), adjacent side is \(1\). So we use \(\tan\) function: \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\)
\(\tan(50^\circ)=\frac{x}{1}\)

Step2: Solve for \(x\)

Since \(\tan(50^\circ)\approx1.1918\), then \(x = \tan(50^\circ)\times1\approx1.2\) (rounded to nearest tenth)

Answer:

\(1.2\)