Question

A ladder leaning against a wall makes an angle of 60° with the ground. if the length of the ladder is 19 m. find the distance of the foot of the ladder from the wall.

Answer 1

so we get the distance from the ground is 9.5 m

Answer 2

Answer:

9.5 m

Step-by-step explanation:

Given : A ladder leaning against a wall makes an angle of 60° with the ground.

To Find: If the length of the ladder is 19 m. find the distance of the foot of the ladder from the wall.

Solution:

refer the attached figure

Length of Ladder i.e. AC = 19 m

A ladder leaning against a wall makes an angle of 60° with the ground i.e. ∠ACB = 60°

We are required to find the distance of the foot of the ladder from the wall. i.e. BC

We will use trigonometric ratio :

$cos\theta =\frac{Base}{Hypotenuse}$

$cos 60^{\circ} =\frac{BC}{AC}$

$\frac{1}{2} =\frac{BC}{19}$

$\frac{1}{2} \times 19 =BC$

$9.5 m =BC$

Hence the distance of the foot of the ladder from the wall is 9.5 m