The moon's distance from the earth is 360000 km and its diameter subtends an angle of 31' at the eye of the observer. Find the diameter of the moon.

Let AB be the diameter of the moon . Since the distance between the earth and the moon is quite large, so we take diameter AB as arc AB. 

Let E be the eye of the observer

Let d be the the diameter of the moon. Then, d = arc AB.

Now,

Hence, the diameter of the moon is 3247.62 km.

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