Question

A ladder is placed against a wall making an angle of 60 o with the floor and reaching a height of 45 feet. The  length of the ladder is ?

Answer 1

Hey mate ♥ here is ur answer :

Sin60= opposite / Hypotenuse

$\sqrt{3}$ / 2 = 45/ height of ladder.

=> Height of ladder = 90$\sqrt{3}$ feet

HOPE THIS ANSWER WILL HELP U

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Answer 2

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

$\green{\therefore{\text{Length\:of\:ladder=}30\sqrt{3}\:feet}}$

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

• In the given question information given about a ladder is placed against a wall making an angle of 60° with the floor and reaching a height of 45 feet.

• We have to find the length of ladder.

$\green{\underline \bold{Given :}} \\ : \implies \text{Height\:of\:wall= 45\: feet} \\ \\ : \implies \text{Angle\:of\:elevation=}60^{\circ}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Length\:of\:ladder= ?}$

• Accroding to given question :

$\bold{In \: \triangle \: ABC} \\ : \implies sin \: \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}} \\ \\ : \implies sin\: 60^{\circ}= \frac{AB}{AC} \\ \\ : \implies \frac{\sqrt{3}}{2}= \frac{45}{AC} \\ \\ : \implies AC= \frac{45\times2}{\sqrt{3}} \ \\ \\ \green{ : \implies {AC=30\sqrt{3}\:feet}}$