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Q.

The moon's distance from the earth is 360000 km and its diameter subtends an angle of 42' at the eye of the observer. Find the diameter of the moon.

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a

2200 km

b

1100 km

c

4480 km

d

4400 km

answer is D.

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Detailed Solution

Here, angle is very small so diameter ≃ arc

Here, θ=42'=42×1600=42×160×π180=7π1800rad

So, diameter=Rθ=360000×71800×227=4400 km

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