Question

horse is tied to a stack by a rope. if the horse moves along a circular path of length 15m always keeping the Rope tied and describes when it has tracked out 65 degree at the centre, find the length of rope.​

Answer 1

ANSWER

Let the post be at point P and let PA be the length of the rope in tight position. Suppose the horse moves along the arc AB so that $= <APB = 72 degree$  and arc  AB = 88m

Let r be the length of the slope i.e PA=r meters

now , θ = 72° = ( 72 * $\frac{\pi }{180}$ ) = $\frac{2\pi }{4}$

and S = 88

∴ θ = $\frac{arc}{radius}$ ⇒ $\frac{2\pi }{4}$ = $\frac{88}{r}$

⇒ r = $\frac{88* 5}{2\pi }$

   r = 70

thank you