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A ladder is placed along a wall such that its upper end is resting against a vertical wall. The foot of the ladder is 2.4 m from the wall and the ladder is making an angle of 68o with the ground. Find the height, up to which the ladder reaches.
A ladder is placed along a wall such that its upper end is resting against a vertical wall. The foot of the ladder is 2.4 m from the wall and the ladder is making an angle of 68o with the ground. Find the height, up to which the ladder reaches.
Class 10 | Exercise 22A | Heights and Distances | ICSE | Selina
A ladder is placed along a wall such that its upper end is resting against a vertical wall. The foot of the ladder is 2.4 m from the wall and the ladder is making an angle of 68o with the ground. Find the height, up to which the ladder reaches.

Selina Solutions Concise Class 10 Maths Chapter 22 ex. 22(A) - 3

Let the height upto which the ladder reaches as ‘h’ meters.

the angle of elevation is 68o

\[\begin{array}{*{35}{l}}

=>\text{ }tan\text{ }{{68}^{o}}~=\text{ }h/\text{ }2.4  \\

2.475\text{ }=\text{ }h/2.4  \\

h\text{ }=\text{ }2.475\text{ }X \text{ }2.4\text{ }=\text{ }5.94\text{ }m  \\

\end{array}\]

Thus, the ladder reaches upto a height of 5.94 m.

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