Question

A 16 meter long ladder touches the top of a vertical wall. If this ladder makes an angle of 60° with
the wall. Find the height of the wall.
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Answer 1

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

$\green{\therefore{\text{Height\:of\:wall=8\:m}}}$

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

• In the given question information given about

a 16 meter long ladder touches the top of a vertical wall. If this ladder makes an angle of 60° with the wall.

• We have to find the height of wall.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\:ladder= 16\:m} \\ \\ : \implies \text{Angle\:of\:elevation=}30^{\circ}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Height\:of\:wall= ?}$

• Accroding to given question :

$\bold{In \: \triangle \: ABC} \\ : \implies sin \: \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}} \\ \\ : \implies sin\: 30^{\circ}= \frac{AB}{AC} \\ \\ : \implies \frac{1}{2}= \frac{AB}{16} \\ \\ : \implies AB= \frac{16}{2}\ \\ \\ \green{ : \implies {AB=8\:m}}\\\\ \green{\therefore{\text{Height\:of\:wall=8\:m}}}$