Question

A ladder reaches a window 40feet high . If the foot of the ladder is 9 feet from the ground . Find a the length of ladder.

Answer 1

Answer:

I hope that it help you.

Answer 2

$\blue{\bold{\underline{\underline{Answer:}}}}$

$\green{\therefore{\text{Length\:of\:ladder=41\:feet}}}$

$\orange{\bold{\underline{\underline{Step-by-step\:explanation:}}}}$

• In the given question information given about a ladder reaches a window 40 feet high and distance between ladder and wall is 9 feet

• We have to Find the length of ladder.

$\green{\underline \bold{Given :}} \\ : \implies \text{Distance \: between\: ladder \:and\:wall= 9\: feet} \\ \\ : \implies \text{Heigh\:of\:window= 40\:feet} \\ \\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Length\:of\: ladder = ?}$

• Accroding to given question :

$\bold{In \: \triangle \: ABC} \\ : \implies {h}^{2} = {p}^{2} + {b}^{2} \: \: \: \: \: \: \: \: \text{(by \: phythagoras \: theoram}) \\ \\ : \implies {AC}^{2} = {40}^{2} + {9}^{2} \\ \\ : \implies {AC}^{2}= 1600+81 \\ \\ : \implies {AC}^{2} =1681 \\ \\ : \implies AC = \sqrt{1681} \\ \\ \green{: \implies \text{AC = 41 \: feet}}$