Assuming the distance of the earth from the moon to be 38,400 km and the angle subtended by the moon at the eye of a person on the earth to be 31’, find the diameter of the moon.

Explanation

Diameter of moon can be given by,

`l = r theta`

Here, `r` = distance between moon and earth `=38400 km`

`theta` = Angle in radians `= 31*1/60*pi/180`

`:. l = 31*1/60*pi/180**38400 = 364.32(approx)`

So, the diameter of the moon is approximately `364.32` km.