Level:
Project ID:
9000124501
Accepted:
1
Clonable:
0
Easy:
0
Similar triangles can be used to estimate the
distance from a distant object of a given width. Consider a door of the width
\(85\, \mathrm{cm}\).
A man stands in an unknown distance
from the door and holds a thin pencil
vertically in his arm in the distance
\(35\, \mathrm{cm}\)
from his face. If he closes the left eye, the right eye, the
pencil and the left side of the door are aligned in
one line. In a similar way, his left eye, the pencil
and the right hand side of the door are also aligned
in one line, which is apparent when closing the
right eye. Assuming the distance
\(6\, \mathrm{cm}\)
between his eyes, estimate the distance from the
man to the door. Give your answer in meters and
round to one decimal place.
\(5.3\, \mathrm{m}\)
\(5.0\, \mathrm{m}\)
\(0.5\, \mathrm{m}\)
\(4.5\, \mathrm{m}\)