Question

1. solve for ( x ). round to the nearest tenth, if necessary. (triangle with right angle at w, wv = 5.4, angle at v is 35°, wt = ( x ))

Explanation:

Step1: Identify trigonometric ratio

For $\angle V = 35^\circ$, side $x$ is opposite, side $WV=5.4$ is adjacent. Use tangent:
$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(35^\circ) = \frac{x}{5.4}$

Step3: Solve for $x$

$x = 5.4 \times \tan(35^\circ)$
Calculate $\tan(35^\circ) \approx 0.7002$, so:
$x \approx 5.4 \times 0.7002$

Step4: Compute final value

$x \approx 3.8$

Answer:

$x \approx 3.8$