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Question -

A ladder 17 m long reaches a window of a building 15 m above the ground. Find the distance of the foot of the ladder from the building.



Answer -

Length of ladder = 17 m
Height of window = 15 m
┬а
Let the distance of the foot of ladder from the building = x
Using Pythagoras Theorem
AC┬▓ = AB┬▓ + BC┬▓
=> (17)┬▓ = (15)┬▓ + x┬▓
=> 289 = 225 + x┬▓
=> x┬▓ = 289 тАУ 225
=> x┬▓ = 64 = (8)┬▓
x = 8
Distance of the foot of the ladder from the building = 8m

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