Question

A plank 6m long leans against a vertical wall so that the foot of the plank is 4m away from the wall. A lizard climbs 2m up the plank. Calculate the horizontal distance between the lizard and the wall.

Answer 1

Answer:
`(8)/(3)\ m`

Explanation:

Given

Length of the plank is
`6\ m`

Foot of the flank is
`4\ m` away from the wall

Lizard climbs 2 m up the wall

from the figure, the two triangles are similar

`\therefore (2)/(6)=(x)/(4)\\\\\Rightarrow x=4* (2)/(6)\\\\\Rightarrow x=(4)/(3)\ m`

So, the distance from the wall is

`\Rightarrow 4-x\\\\\Rightarrow 4-(4)/(3)\\\\\Rightarrow (8)/(3)\ m`