Question

An 11 m ladder is placed 4 m away from the wall. If Joey, who is 1.7 m tall, stood up on top of the ladder,

how high would the top of his head be in relation to the floor?

Answer 1

$\textsf{Ladder}= 11m\\ \textsf{Floor} = 4m\\ \textsf{floor to Joey's feet } = y\\ \textsf{According to pythagoras theorem,}\\ 4^2 + y^2 = 11^2\\ y^2 = 11^2 - 4^2\\ y^2 = 121 - 16\\ y^2 = 105\\ y = 10.25m$

From the diagram above,

$x = y + 1.7m\\ x = 10.25m + 1.7m\\ x = 11.95m\\$

$\therefore 11.95m$ is how high the top of his head would be in relation to the floor.