Question

a firefighters ladder of length 17 m was kept at a distance of 8 m from a building to reach a window on the building and war at what height is the window from the ground​

Answer 1

Answer:

$\huge\color{red}\boxed{\colorbox{pink}{✎﹏15 m}}$

Step-by-step explanation:

Given-Length of ladder (Hypotenuse) = 17 m

Distance of ladder from building (Base) = 8 m

Height of the window from ground (Perpendicular) = ? m

$\large\sf\red{By \: using \: Pythagoras \: theorem}$

$\small\sf\blue{(Hypotenuse)² = (Base)² + (Perpendicular)²}$

${(17)}^{2} = {(8)}^{2} + {(perpendicular)}^{2}$

$289 = 64 + {(perpendicular)}^{2}$

$289 - 64 = {(perpendicular)}^{2}$

$225 = {(perpendicular)}^{2}$

${(perpendicular)}^{2} = 225$

$perpendicular = \sqrt{225 m}$

$\large\mathcal\pink{perpendicular = 15 m}$

So, the height of window from the ground is

$\huge\color{purple}\boxed{\colorbox{yellow}{15 m}}$

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