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A horse is tied to a post by a rope. If ...

A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight, and describes `88` metres when it traces `72^@` at the centre, find the length of the rope.

Text Solution

Verified by Experts

The correct Answer is:
70 m
Let the post be at point P and PA be the length of the rope in tight position. Suppose the horse moves along the are AB so that `angle APB=72^@" and are "AB=88m`
Let r be the length of the rope, i.e., PA = r meters.
Now, `theta=72^@=(72xxpi/182)^R`
`=((2pi)/5)^R`
and `s=88m`
`:. theta=("Are")/("Radius")`
`or (2pi)/5=88/r`
`or r=88xx5/(2pi)=70m`
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Knowledge Check

  • A horse is tied to a post by a rop. If the horse moves along a circular path always keeping the rope stretched and describes 88 metres when it as traced out 72^(@) at the centre, the length of the rope is (take pi = (22)/(7) )

    A
    70 m
    B
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    65 m

  • A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope stretched and describes 88 meters when it has traced out 72^@ at the center, the length of the rope is. (मान लें pi=22/7 ) एक घोड़े को खंभे से रस्सी से बांधा जाता है। यदि घोड़ा हमेशा रस्सी को खींचे हुए गोल घूमता है और 88 मीटर की दूरी तय करता है। जब केन्द्र पर 72^@ का कोण अंतरित करता है, तो रस्सी की लंबाई कितनी होगी? (मान लें pi=22/7 )

    A
    70 मीटर
    B
    75 मीटर
    C
    80 मीटर
    D
    65 मीटर

  • A horse is tied to a post by a rope. If the horse moves along a circular path always keeping the rope tight and descibes 88 m, when it has traced out 72^(@) at the centre, then what is the length of the rope?

    A
    40 m
    B
    32 m
    C
    70 m
    D
    88 m

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