Question

solve for x. round to the nearest tenth, if necessary.
answer
attempt 1 out of 2
x =
submit answer

Explanation:

Step1: Identify trigonometric ratio

For $\angle T = 52^\circ$, side $WT=96$ is adjacent, side $WV=x$ is opposite. Use tangent:
$\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$

Step2: Substitute known values

$\tan(52^\circ) = \frac{x}{96}$

Step3: Solve for $x$

$x = 96 \times \tan(52^\circ)$
Calculate $\tan(52^\circ) \approx 1.2799$, so:
$x \approx 96 \times 1.2799$

Step4: Compute and round

$x \approx 122.9$

Answer:

122.9