Question

a ladder 15m long just reaches the to of vertical wall if the ladder makes an angle of 60° with the wall find the height of wall​

Answer 1

Answer:

12.99m

Step-by-step explanation:

Let the height of the wall be x m

ATQ, the ladder forms the hypoteneuse of the right triangle and the wall forms the perpendicular side and the given angle is 60° so,

sin60°=perpendicular/hypoteneuse

(substituting values)

√3/2=x/15

⇒x=15*√3/2=7.5*1.732=12.99m

Answer 2

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

$\green{\therefore{\text{Height\:of\:wall=7.5\:m}}}$

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

• In the given question information given about a ladder 15m long just reaches the to of vertical wall if the ladder makes an angle of 60° with the wall.

• We have to find the height of wall.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\:ladder= 15\:m} \\ \\ : \implies \text{Angle\:of\:elevation=}30^{\circ}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Height\:of\:wall= ?}$

• Accroding to given question :

$\bold{In \: \triangle \: ABC} \\ : \implies sin \: \theta = \frac{\text{Perpendicular}}{\text{Hypotenuse}} \\ \\ : \implies sin\: 30^{\circ}= \frac{AB}{AC} \\ \\ : \implies \frac{1}{2}= \frac{AB}{15} \\ \\ : \implies AB= \frac{15}{2}\ \\ \\ \green{ : \implies {AB=7.5\:m}}\\\\ \green{\therefore{\text{Height\:of\:wall=7.5\:m}}}$