the Moon's distance from the earth is 360000 km and its diameter subtends an angle of 42 seconds at the eye of the observer the diameter of the moon is
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Let AB be the diameter of moon.
we can consider the diameter of moon as arc because the distance between the earth and moon is large.
Let E be the observer.
Let d be the diameter of moon .
Then d=arcAB.
θ=42°
=(42/60)°
=[(42/60)xπ/180]
r=360000kms
θ=arc/radius
[(42/60)xπ/180]=d/360000
d=[42/60)xπ/180]x360000
d=0.7x0.017x360000=4284km.
but the the actual diameter of moon is 3474km. so in the given question the data is given wrong.
_____________
HOPE IT HELPS!!
we can consider the diameter of moon as arc because the distance between the earth and moon is large.
Let E be the observer.
Let d be the diameter of moon .
Then d=arcAB.
θ=42°
=(42/60)°
=[(42/60)xπ/180]
r=360000kms
θ=arc/radius
[(42/60)xπ/180]=d/360000
d=[42/60)xπ/180]x360000
d=0.7x0.017x360000=4284km.
but the the actual diameter of moon is 3474km. so in the given question the data is given wrong.
_____________
HOPE IT HELPS!!
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