Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for ( x ). round to the nearest tenth, if necessary.

Question

solve for ( x ). round to the nearest tenth, if necessary.

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta)=\frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=73^\circ$, opposite side is $x$, adjacent side is $9.9$.

Step2: Rearrange to solve for $x$

$x = 9.9 \times \tan(73^\circ)$

Step3: Calculate the value

First find $\tan(73^\circ)\approx3.2709$, then $x\approx9.9\times3.2709$
$x\approx32.4$

Answer:

$32.4$