Question

A person standing at a distance of 3.6 km can just resolve two poles. The distance between the poles is (if eye, limit of resolution is 1/3600.​

Answer 1

Answer:

10km

Distance = xkm=1000xm

Resolution limit =1′

Lateral separation =3 meter

Angle on eye in minutes for 2 person, x km away separated by 3 meter = 1000x3×π180×60

So, 1= 1000x3×π180×60

⇒x=10.3 Km ( approximately 10 Km)

Answer. A) 10 Km

Answer 2

Given,

A person can resolve 2 poles standing at a distance of 3.6 km

Limit of resolution = 1/3600

To find,

The distance between the 2 poles.

Solution,

The distance between the two poles can be given by,

x = distance of person in m × limit of resolution × π/180

⇒ x = 3.6 × 1000 (1/60 × π/180)

⇒ x = 3600/60 × 3.14/180

⇒ x = 36/18 × 3.14/6

⇒ x = (2 × 3.14)/6

⇒ x = 6.28/6 = 1.28 m

∴ The distance between the 2 poles is 1.28 m