Two boys one 52 inches tall and the other 55 inches tall, are standing at distances 4.0 m and 5.0 m respectivley from an eye. Which boy will taller?

Answer

First boy

Explanation

Angle subtended by the first boy, on the eye
`alpha_(1) = (52 I nch)/(4.0 m) = 13 "inch"//m`
Angle subtended by the second boy on the eye is
`alpha_(2) = (55 "inch")/(5.0 m) = 11 "inch"//m`
As `alpha_(1) gt alpha_(2)`, therefore the first boy will look taller to the eye.