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A ladder 8m long leans against a wall. The foot of the ladder makes an angle of ...


Question

A ladder 8m long leans against a wall. The foot of the ladder makes an angle of 60° with the level ground. Find how far up the wall the ladder reaches.

Options

A) 8

B) 6

C) 3

D) 2

The correct answer is C.

Explanation:

The ladder is \(x\)m up the wall.
\(\sin 60^{\circ} = \cfrac{x}{8}\)
\(\cfrac{\sqrt{3}}{2} = \cfrac{x}{8}\)
\(x = \cfrac{8 \times \sqrt{3}}{2} = 4\sqrt{3}\)m

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Dicussion (1)

  • The ladder is \(x\)m up the wall.
    \(\sin 60^{\circ} = \cfrac{x}{8}\)
    \(\cfrac{\sqrt{3}}{2} = \cfrac{x}{8}\)
    \(x = \cfrac{8 \times \sqrt{3}}{2} = 4\sqrt{3}\)m

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