Question

the lenght of the ladder is7m andthe ladder is inclined at angle of 30with the ground . height of wall

Answer 1

Hope it helped u guys.... Thank you

Answer 2

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

$\green{\therefore{\text{Height\:of\:wall=3.5\:m}}}$

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

• In the given question information given about a the length of the ladder is7m andthe ladder is inclined at angle of 30° with the ground.

• We have to find the height of wall.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\:ladder= 7\: m} \\ \\ : \implies \text{Angle\:of\:elevation=}30^{\circ}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Height\:of\:wall= ?}$

• Accroding to given question :

$\bold{In \: \triangle \: ABC} \\ : \implies sin \: \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}} \\ \\ : \implies sin\: 30^{\circ}= \frac{AB}{AC} \\ \\ : \implies \frac{1}{2}= \frac{AB}{7} \\ \\ : \implies AB= \frac{7}{2}\ \\ \\ \green{ : \implies {AB=3.5\:m}}\\\\ \green{\therefore{\text{Height\:of\:wall=3.5\:m}}}$