The Moon subtends an angle of 1^(@) 55' at the base line equal to the diameter of the Earth. What is the distance of the Moon from the Earth? (Radius of the Earth is 6.4 xx 10^(6) m)

The Moon subtends an angle of 1^(@) 55' at the base line equal to the

1.	The Moon subtends an angle of 1^(@) 55' at the base line equal to the diameter of the Earth. What is the distance of the Moon from the Earth? (Radius of the Earth is 6.4 xx 10^(6) m)
Answer» SOLUTION :ANGLE `theta = 1^(@) 55.= 115. = (115xx 60).. xx (4.85xx10^(-6))` rad = `3.34 xx 10^(-2)` rad Since 1" = `4.85 xx 10^(-6)` rad Radius of the Earth = `6.4 xx 10^(6)` m From the Figure 1.5 AB is the diameter of the Earth (b) = `2 xx 6.4 xx 10^(6)` m Distance of the Moon from the Earth x = ? `x = (b)/(theta) = (2xx6.4xx10^(6))/(3.34xx10^(-2))` x = `3.83 xx 10^(8)` m