Question

The angle of elavation of a ladder learning against a wall is 60. and thafoot of the ladder is 46m away from the wall the leangth of the ladder is:

Answer 1

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

$\green{\therefore{\text{Length\:of\:ladder=92\:m}}}$

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

• In the given question information given about angle of elevation of a ladder to wall is 60° and the foot of the ladder 46 m away the wall.

• We have to Find the length of ladder.

$\green{\underline \bold{Given :}} \\ : \implies \text{Distance \: between\: ladder \:and\:wall= 46\:m} \\ \\ : \implies \text{Angle\:of\:elevation\:of\:ladder\:to\:wall= 60\degree} \\ \\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Length\:of\: ladder = ?}$

• Accroding to given question :

$\bold{In \: \triangle \: ABC} \\ : \implies cos\:\theta=\frac{\text{Base}}{\text{hypotenuse}}\\ \\ : \implies cos\:60\degree = \frac{distance\:between\:wall\:and\:foot\:of\:ladder}{length\:of\:ladder} \\ \\ : \implies \frac{1}{2}= \frac{46}{H} \\ \\ : \implies \frac{H}{2}=46\\ \\ : \implies H = 46\times 2 \\ \\ \green{: \implies \text{H = 92\: m}}$