Question

A ladder leaning against a wall, makes a angle of 60° with the horizontal and the foot of theladder is 9.5 metres away from the wall. Find the length of the ladder.
urgent please.....​

Answer 1

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

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

The length of the ladder will be,

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

Therefore, the length of the ladder is 5 m .