Question

A ladder which leans against a wall is 20m in length and makes

an angle 60 degree with the floor. How far is the foot of the ladder

from the wall?​

Answer 1

Answer:

Step by step solution :

Answer 2

GIVEN:

• Length of ladder (BC) = 20 cm
• Angle of elevation of the ladder = 60°

TO FIND:

• What is the length of AC ?

SOLUTION:

Let the length AC be 'x' cm

We know that, the value of cos60° is 1/2

$\bf{\therefore cos 60\degree = \dfrac{Base}{Hypotenuse}}$

➣ $\sf{\dfrac{1}{2} = \dfrac{x}{20}}$

➣ 20 $\times$ 1 = x $\times$ 2

➣ 20 = 2x

➣ $\sf{\cancel\dfrac{20}{2}}$ = x

❬ 10 = x ❭

❝ Hence, the distance of the ladder from the wall is 10 cm ❞

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