Two boys, first 52 inches tall and second 55 inches tall, are standing at the distances 4.0 m and 5.0 m respectively from an eye. Which boy will appear taller?

First boy

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Second boy

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Both will appear of the same size

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Solution

The correct option is A $First boy$
The angle subtended by the first boy on the eye is
$α_{1} = \frac{52 inch}{4 m} = 13 inch/m$
and the angle subtended by the second boy is
$α_{2} = \frac{55 inch}{5 m} = 11 inch/m$
$As α_{1} > α_{2}$ , the first boy will look taller to the eye.

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Two boys, first 52 inches tall and second 55 inches tall, are standing at the distances 4.0 m and 5.0 m respectively from an eye. Which boy will appear taller?

The correct option is A First boyThe angle subtended by the first boy on the eye is α1=52 inch4 m=13 inch/m and the angle subtended by the second boy is α2=55 inch5 m=11 inch/m As α1>α2, the first boy will look taller to the eye.

The correct option is A $First boy$
The angle subtended by the first boy on the eye is
$α_{1} = \frac{52 inch}{4 m} = 13 inch/m$
and the angle subtended by the second boy is
$α_{2} = \frac{55 inch}{5 m} = 11 inch/m$
$As α_{1} > α_{2}$ , the first boy will look taller to the eye.