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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.

A) 8

B) 6

C) 3

D) 2

### 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

## 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