Question

A ladder leaning against a wall makes an angle of 60 degree with the horizontal If the foot of the ladder is 2.5 m away from the wall , find the length of the ladder.

Answer 1

Answer:

The length of the ladder is 5 m.

To find:

The length of the ladder whose foot is 2.5 m away from the wall.

Given:

Distance between the wall and the foot of the ladder = 2.5 m

The angle of elevation is “60°"

Let the length of the ladder is L. The angle of elevation is 60°

By using cosine formulae

$\begin{array} { c } { \cos \theta = \frac { \text {Adjacent side} } { \text {Hypotenuse} } } \\\\ { \cos 60 ^ { \circ } = \frac { 2.5 } { L } } \end{array}$

The length of the ladder will be,

$\begin{array} { c } { \text {Length } L = \frac { 2.5 } { \cos 60 ^ { \circ } } } \\\\ { L = \frac { 2.5 } { \frac { 1 } { 2 } } = 2.5 \times 2 } \\\\ { L = 5 \mathrm { m } } \end{array}$

Therefore, the length of the ladder is 5 m.

Answer 2

Answer:

Step-by-step explanation:

Answer:

The length of the ladder is 5 m.

To find:

The length of the ladder whose foot is 2.5 m away from the wall.

Given:

Distance between the wall and the foot of the ladder = 2.5 m

The angle of elevation is “60°"

Let the length of the ladder is L. The angle of elevation is 60

By using cosine formulae

The length of the ladder will be,

Therefore, the length of the ladder is 5 m