Answer:
5π/6 radians
Explanation:
The horizontal distance traveled along the road is equal to the arc length (s) of the path traveled by the point. Knowing that the circumference (C) of the circle corresponds to 2π radians, we can write a proportion to solve for the angular displacement (θ) of the point.
[tex]\huge \text {$ \frac{s}{c} $} \Large \text {$\ =\ $} \huge \text {$ \frac{\theta}{2\pi} $}\\\\\huge \text {$ \frac{10\ m}{24\ m} $}\Large \text {$\ =\ $} \huge \text {$ \frac{\theta}{2\pi} $}\\\\\huge \text {$ \frac{20\pi}{24} $}\Large \text {$\ = \theta$}\\\Large \text {$ \theta = $}\huge \text {$ \frac{5\pi}{6} $}[/tex]
