During a rescue operation a 15 m ladder is used to reach a window of a building
MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
During a rescue operation a 15 m ladder is used to reach a window of a building. The foot of the ladder is kept on level ground 6 m from the foot of the wall.
(i) Calculate the height of the window above the ground.
(ii) After reaching the window, a rescuer drops a safety rope from the window to a point on the ground that is 10 m away from the foot of the wall along the same straight line on which the ladder foot lies. Determine the length of the rope required.
(iii) Safety rope costs Rs. 250 per metre and can be purchased only in whole-number metre lengths. Find the cost of the rope.