Question

solve for x.

80 ft
30^circ
x

x = ? ft
round your answer to the nearest hundredth.

Explanation:

Find the angle of elevation

Using the Alternate Interior Angles knowledge point

$$ \theta = 30^\circ $$

Apply trigonometric ratio

Using the Right Triangle Trigonometry knowledge point

$$ \tan(30^\circ) = \frac{80}{x} $$

Solve for x

Using the Right Triangle Trigonometry knowledge point

$$ x = \frac{80}{\tan(30^\circ)} \approx 138.564 $$

Round to the nearest hundredth

Using the Right Triangle Trigonometry knowledge point

$$ x \approx 138.56 $$

Answer:

Solve for x.

\(x =\) <blank>\(138.56\)</blank> ft

Round your answer to the nearest hundredth.