Question : A ladder leaning against a window of a house makes an angle of $60^{\circ}$ with the ground. If the 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:
Option 1: 7.3 m
Option 2: 6.8 m
Option 3: 7.8 m
Option 4: 7 m

Question

Question : A ladder leaning against a window of a house makes an angle of $60^{\circ}$ with the ground. If the 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:

Option 1: 7.3 m

Option 2: 6.8 m

Option 3: 7.8 m

Option 4: 7 m

Team Careers360 · Accepted Answer

Correct Answer: 7.3 m

Solution :
Given, $BC = 4.2\ m$
In $ riangle ABC$
$AB$ is the height of the point, where the ladder touches the window from the ground.
$ an 60^\circ = \frac{AB}{BC}$
⇒ $\sqrt 3 = \frac{AB}{4.2}$
⇒ $AB = 4.2 × 1.73 = 7.3$
Hence, the correct answer is 7.3 m.

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