Question

A ladder is placed so as to reach a window 63 cm above the foot of the ladder. The ladder is then turned over to the opposite side of the street and is found to reach a point 56 cm high. If the ladder is 65 cm long, then the width of the street is ____.

• A. 59 cm
• B. 39 cm
• C. 49 cm
• D. 29 cm
• E. None of these

Answer 1

The correct option is C 49 cm

$BC=\sqrt{(65{)}^2-(63{)}^2}=16CD=\sqrt{(65{)}^2-(56{)}^2}=33$
$\therefore$ Width of the street $=16+33=49cm$