Question

A ladder 14m long rests against a wall. If the foot of the ladder is 7m from the wall, then the angle of elevation is

Answer 1

Angle Of Elevation (@) = ???????

We have value of Hypotenuse and Base

so

Cos@=B/H

Cos@=7/14

Cos@=1/2

COS@=Cos60°

@=60°

So angle of elevation is 60°.

Answer 2

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

$\green{\therefore{\text{Angle\:of\:elevation=}60^{\circ}}}$

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

• In the given question information given about a ladder of length 14 m touches the wall at a height 7 m.

• We have to find the angle of elevation.

$\green{\underline \bold{Given :}} \\ : \implies \text{Length\:of\: ladder= 14\: m} \\ \\ : \implies \text{Height\:of\:wall=7\:m}\\\\ \red{\underline \bold{To \: Find:}} \\ : \implies \text{Angle\:of\:elevation= ?}$

• Accroding to given question :

$\bold{in \: \triangle \: ABC} \\ : \implies cos \: \theta = \frac{\text{Base}}{\text{Hypotenuse}} \\ \\ : \implies cos\: \theta= \frac{BC}{AC} \\ \\ : \implies cos\:\theta= \frac{7}{14} \\ \\ : \implies cos\:\theta= \frac{1 }{2} \\ \\ \green{ : \implies \theta = 60^{\circ} }$