the moon's distance from the earth is 360000 km and it's diameter subtend an angle of 42' at the observer's eye. the diameter of the moon is?
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Answered by
65
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.
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.
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Answered by
7
Answer:4400 km
Explanation theta =
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