Problema Solution

if a 70ft ladder is mounted 10ft above the ground on a fire truck. the bottom of the ladder is 40ft from the wall of the building. the top of the ladder is touching the building. how high off the ground is the top of the ladder/

Answer provided by our tutors

let 'h' represent the height of the top of the ladder on the wall, h>0


make a good drawing and use the Pythagorean Theorem:


(h - 10)^2 = 70^2 - 40^2


by solving we find:


h = 67.45 ft


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the top of the ladder is 67.45 ft high off the ground.