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Standard X

Mathematics

Length of Arc of a Sector

A sprinter go...

Question

A sprinter goes off the starting block for 100 m run and at that instant the second- hand of a stopwatch hadpointed towards North. He touches the finishing line exactly after 12 seconds. In which direction did thesecond hand point when he just crossed the finishing line?

$18^{\circ}$ North of East

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$18^{\circ}$ East of North

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$72^{\circ}$ North of East

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$82^{\circ}$ East of North

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Solution

The correct option is A
$18^{\circ}$ North of East

After 12 sec, seconds hand will make angle of $72^{\circ}$ .

i.e. it will be $18^{\circ}$ North of East.

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A sprinter goes off the starting block for 100 m run and at that instant the second- hand of a stopwatch hadpointed towards North. He touches the finishing line exactly after 12 seconds. In which direction did thesecond hand point when he just crossed the finishing line?

The correct option is A 18∘ North of East After 12 sec, seconds hand will make angle of 72∘. i.e. it will be 18∘ North of East.

The correct option is A
$18^{\circ}$ North of East

After 12 sec, seconds hand will make angle of $72^{\circ}$ .

i.e. it will be $18^{\circ}$ North of East.