Question

solve for x. round to the nearest tenth, if necessary.
right triangle wvt with right angle at w, side wt = 7.7, side wv = x, angle at v is 50 degrees
answer attempt 1 out of 2
x = input box submit ans

Explanation:

Step1: Identify trigonometric ratio

$\tan(50^\circ) = \frac{opposite}{adjacent} = \frac{WT}{WV} = \frac{7.7}{x}$

Step2: Solve for x

$x = \frac{7.7}{\tan(50^\circ)}$
$\tan(50^\circ) \approx 1.1918$, so $x \approx \frac{7.7}{1.1918} \approx 6.5$

Answer:

6.5