Question

Calculate the hight that we can reach with a 3m ladder leaning against a wall if the bottom of th
e ladder is 70cm from the wall

Answer 1

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

$\green{\therefore{\text{Height\:of\:wall=2.91\:m}}}$

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

• In the given question information given about a 3 meter ladder leaned against the wall.The base of the ladder is 0.7 meter.

• We have to find the height of wall.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\:ladder=3\:m} \\ \\ : \implies \text{Distance\:between\:wall\:and\:foot\:of\:ladder=0.7\:m}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Height\:of\:wall= ?}$

• Accroding to given question :

$\bold{ By \: pythagoras \: theorem} \\ : \implies {h}^{2} = {p}^{2} + {b}^{2} \\ \\ : \implies {AC}^{2} = {AB}^{2} + {BC}^{2} \\ \\ : \implies {3}^{2} = {AB}^{2} + 0.7^{2} \\ \\ : \implies 9= {AB}^{2} +0.49\\ \\ : \implies 9- 0.49= {AB}^{2} \\ \\ : \implies {AB}^{2} = 8.51\\ \\ : \implies AB= \sqrt{8.51} \\ \\ \green{: \implies \text{AB = 2.91 \: m}}$

Answer 2

Answer:

2.91 is the answer

Step-by-step explanation:

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