How far does the tip of a $5 \text{ foot}$ pendulum travel as it swings through an angle of $30^\circ$? How far does the tip of a $5 \text{ foot}$ pendulum travel as it swings through an angle of $30^\circ$? I proceeded by drawing a picture of swinging pendulum with dimensions. I drew a right triangle next to pendulum with the length of pendulum $(5 \text{ foot})$ being the $x$-axis of my right triangle. $30^\circ (\theta)$ is the tangent angle. I solved for tangent and got $2.89$ for $y$-axis. I used the Pythagoras Theorem [Baudhāyana Śulbasûtra] to solve for length of the hypotenuse which would be my answer $C=5.77 \text{ foot}$. !enter image description here I ask the community if my steps are sound in judgement or not?

You want the arc length of an arc spanning $30°$ with radius $r= 5.0$

1. Convert the angle into radians
2. Use the arc length formula $s = r\, \theta$