Question

during the daylight ,you hold a ruler in a distance of 60cm away from your eyes and you find the size of the moon to be 0.55cm. At night you use a telescope to observe rock formations and craters on the moon to estimate the diameter to be about 3500km . find the distance to the moon using only the information from this experiment

Answer 1

Distance to moon is OE is 3.82 × $10^{5}$ km

Explanation:

Given data

distance away from your eyes OF = 60 cm

size of the moon CD = 0.55 cm

diameter AB = 3500 km

solution

we take here fig so as per fig

here moon to eyes distance is OE

as here ΔOAB and ΔOCD both are similar so that

$\frac{AB}{CD} =\frac{OE}{OF}$    ........................1

put here value

$\frac{3500}{0.55} =\frac{OE}{60}$  

solve we get

OE = 381818.182

so here distance to moon is OE is 3.82 × $10^{5}$ km

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Distance to the Moon

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