Question

solve for x.

\\(x = ?\\) m

round your answer to the nearest hundredth.

Explanation:

Identify parallel lines and alternate interior angles

Using the Parallel Lines and Alternate Interior Angles knowledge points

$$ \theta = 35^\circ $$

Set up the trigonometric ratio

Using the Trigonometric Ratios and Right Triangle Trigonometry knowledge points

$$ \tan(35^\circ) = \frac{\text{opposite}}{\text{adjacent}} = \frac{x}{120} $$

Solve for x

Using the Right Triangle Trigonometry knowledge point

$$
LATEXBLOCK0
$$

Round to the nearest hundredth

Using the Right Triangle Trigonometry knowledge point

$$ x \approx 84.02 $$

Answer:

Solve for x.

\(x =\) <blank>\(84.02\)</blank> m

Round your answer to the nearest hundredth.