Question

a ladder of length 90m touches the wall at a height 45 m find the angle made by the ladder with the horizontal

Answer 1

sin©=45/90
therefore ©=30°

Answer 2

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

$\green{\therefore{\text{Angle\:of\:elevation=}30^{\circ}}}$

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

• In the given question information given about a ladder of length 90m touches the wall at a height 45 m.

• We have to find the angle of elevation.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\: ladder= 90\: m} \\ \\ : \implies \text{Height\:of\:wall=45\:m}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Angle\:of\:elevation= ?}$

• Accroding to given question :

$\bold{in \: \triangle \: ABC} \\ : \implies sin \: \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}} \\ \\ : \implies sin\: \theta= \frac{AB}{AC} \\ \\ : \implies sin\:\theta= \frac{45}{90} \\ \\ : \implies sin\:\theta= \frac{1 }{2} \\ \\ \green{ : \implies \theta = 30^{\circ} }$