Question

A ladder 15 m long leans against a well making an angle of 60° with the. Fill the height

Answer 1

since only hypotenuse is given, so we use sin

Answer 2

CORRECT QUESTION :

A ladder 15 m long leans against a wall making an angle of 60° with the ladder. Fill the height of wall.

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

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

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

• In the given question information given about a ladder 15 m long leans against a wall making an angle of 60° with the ladder.

• 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 :

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