the moom subtends an angle of 57

Question

the moon subtends an angle of 57 minute at the base -line equal to the radius of the earth . What is the distance of the moon from the earth ?[ Radius of the earth =6.4 x 10⁶ m]

Answer 1

parallactic angle , theta =57 '

=(57/60)^o

=(57/60 )x pi/180 rad 

b= Radius of earth =6.4 x 10⁶ m 

Distance of the moon from the earth ,

s= b/theta = 6.4 x10⁶ x 60 x180 / 57x pi 

s= 3.86 x 10⁸ m