Question

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 ${68}^{\circ }$ with the ground. Find the height, upto which the ladder reaches. [2 MARKS]

Answer 1

Concept: 1 Mark
Application: 1 Mark

Let AB be the wall and



AC be the ladder, which is placed against the wall. If foot is 2.4 m away from the wall i.e. CB = 2.4 m

Let $AB=xm$

In right $\Delta ABC$,

$tan\theta =\frac{AB}{BC}\Rightarrow tan{68}^{\circ }=\frac{x}{2.4}$

$\therefore x=2.4\times tan{68}^{\circ }=2.4\times 2.4751$

$=5.94m$