A ladder leaning against a window of a house makes an angle of 60 deg with the ground Ifthe distance...........

Quantitative Aptitude (CPO) Height and Distance

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:

This questions was previously asked in

SSC CPO 13th Dec 2019 Shift-1

7.3 m

6.8 m

7.8 m

7 m

- Let the height from the ground to where the ladder touches the window be h meters.

- The foot of the ladder from the wall is 4.2 m (we can think of this as the base of a right triangle).

- The ladder makes a 60° angle with the ground.

- Use the formula: tan(?) = Opposite/Adjacent, so tan(60°) = h / 4.2

- tan(60°) = v3 ˜ 1.732

- h = 1.732 × 4.2 = 7.27 ˜ 7.3 m

- So, the correct option is Option 1: 7.3 m

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