Question:
The length of the longest pole that can be kept in a room (12 m × 9 m ×8 m) is
(a) 29 m
(b) 21 m
(c) 19 m
(d) 17 m
Solution:
(d) 17 m
Length of the longest pole that can be kept in a room =Length of the diagonal of the room
$=\sqrt{l^{2+} b^{2}+h^{2}} \mathrm{~m}$
$=\sqrt{(12)^{2}+(9)^{2}+(8)^{2}} \mathrm{~m}$
$=\sqrt{289} \mathrm{~m}$
$=17 \mathrm{~m}$