Estimating the Diameter of the Moon Using a Pencil - Simple Physics Problem

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To estimate the diameter of the Moon using a pencil, hold the pencil at a distance of about 15 cm from your eye, ensuring its end blocks the Moon. Measure the pencil's diameter, approximately 1.5 cm or 1.5x10^-5 km. Use similar triangle theory to relate the pencil's size and distance to the Moon's size and its distance from Earth, which is 3.8x10^5 km. This method allows for a straightforward calculation of the Moon's diameter based on the measurements taken. This approach effectively combines basic geometry with practical observation.
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im new to the physics world and know this is probably an easy problem but i don't know where to start

Hold a pencil in front of your eye at a position where its end just blocks out the moon. Make approprite measurements to estimate the diameter of the moon, given that the earth-moon distance is 3.8x10^5km.

i figured that you prob had to measure the end of a pencil which i measured about 1.5 cm which is 1.5x10^-5km but i don't really know what to do from there.
 
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k_yup said:
im new to the physics world and know this is probably an easy problem but i don't know where to start

Hold a pencil in front of your eye at a position where its end just blocks out the moon. Make approprite measurements to estimate the diameter of the moon, given that the earth-moon distance is 3.8x10^5km.

i figured that you prob had to measure the end of a pencil which i measured about 1.5 cm which is 1.5x10^-5km but i don't really know what to do from there.

How far away was the pencil from your eye?
 
about 15cm
 
so use simular triangle theory?
 
k_yup said:
so use simular triangle theory?

Yes, that would do it nicely.

Sorry for late reply I guess I missed it last night when I scanned the board.

Good luck.
 
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