Question

solve for x. round to the ne
elias leans a 24 - foot ladder a
does the ladder reach? roun

Explanation:

Step1: Identify trigonometric ratio

We use tangent: $\tan(\theta) = \frac{\text{opposite}}{\text{adjacent}}$
Here, $\theta=28^\circ$, opposite side $=41$, adjacent side $=x$.
$\tan(28^\circ) = \frac{41}{x}$

Step2: Rearrange to solve for x

Isolate $x$ by cross-multiplying:
$x = \frac{41}{\tan(28^\circ)}$

Step3: Calculate the value

Use $\tan(28^\circ) \approx 0.5317$
$x \approx \frac{41}{0.5317} \approx 77.1$

Answer:

$77.1$