A straight fire-escape is fixed from the ground to a balcony and then continues in…
MATHEMATICS · Multi-part · CBSE · Mathematics · The Baudhayana-Pythagoras Theorem · The Baudhayana-Pythagoras Theorem
Problem
A straight fire-escape is fixed from the ground to a balcony and then continues in the same straight line to a window directly above the balcony.
The balcony is 4.0 m above the ground and projects 1.2 m horizontally from the wall of the building. The window sill is 7.0 m above the ground and lies vertically above the wall surface. The foot of the fire-escape is placed 3.0 m from the wall on level ground.
Calculate the following lengths, correct to two decimal places where necessary.
(i) The length of the lower portion of the fire-escape from the ground to the balcony.
(ii) The length of the upper portion from the balcony to the window.
(iii) The total length of the fire-escape.