Question 117

A ladder leaning against a window of a house makes an angle of 60° with the ground. Ifthe distance of the foot of the ladder from the wall is 4.2 m, then the height of the point, where the ladder touches the window from the ground is Closest to:

Solution

As per the given question,

The ladder is making $$60^\circ$$ with the ground

and the foot of the ladder is (x)=4.2m from the wall.
Height of the wall till window (h)=?

We know that $$\tan\theta=\dfrac{h}{x}$$

$$\tan 60^\circ=\dfrac{h}{4.2}$$

$$x=\sqrt{3}\times 4.2=1.732\times 4.2\simeq=7.3 m$$

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