Question

A ladder leaning against a vertical wall makes an angle of 60 with the ground. the foot of the ladder is at distance of 3m from the wall. find the length of ladder.

Answer 1

hope it helpful.....lenght of ledder is 6 ...u can see in the photo

Answer 2

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

$\green{\therefore{\text{Length\:of\:ladder=6\:m}}}$

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

• In the given question information given about a ladder leaning against a vertical wall makes an angle of 60 with the ground. the foot of the ladder is at distance of 3m from the wall.

• We have to find the Length of ladder.

$\green{\underline \bold{Given :}} \\ : \implies \text{Distance\:between\:wall\:and\:foot\:of\:ladder=3\:m} \\ \\ : \implies \text{Angle\:of\:elevation}=60^{\circ}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Length\:of\:ladder= ?}$

• Accroding to given question :

$\bold{In \: \triangle \: ABC} \\ : \implies cos \: \theta = \frac{\text{Base}}{\text{Hypotenuse}} \\ \\ : \implies cos \: 60^{ \circ} = \frac{AB}{AC} \\ \\ : \implies \frac{1}{2} = \frac{3}{AC} \\ \\ : \implies AC = 3\times2 \\ \\ \green{ : \implies AC = 6 \: m} \\ \\ \green{\therefore \text{Length\: of \: ladder= 6 \: m}}$