Question

select correct answer from the drop - down menu. charlie stands at point a while holding the control line attached to a model airplane. the plane travels 120 feet counterclockwise from point b to point c. about how long is the control line? the control line is about feet long. 88 172 43 258

Explanation:

Step1: Recall arc length formula

The arc length formula is $s = r\theta$, where $s$ is arc length, $r$ is radius (control line length), and $\theta$ is the central angle in radians.

Step2: Convert degrees to radians

Convert $80^\circ$ to radians:
$\theta = 80 \times \frac{\pi}{180} = \frac{4\pi}{9}$

Step3: Solve for radius $r$

Rearrange formula to $r = \frac{s}{\theta}$. Substitute $s=120$, $\theta=\frac{4\pi}{9}$:
$r = \frac{120}{\frac{4\pi}{9}} = 120 \times \frac{9}{4\pi} = \frac{270}{\pi} \approx 86$

Answer:

86