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Question

AB is a ladder of length 4 m, leaning on a vertical wall. End A of the ladder is on the floor and end B is on the wall. If the ladder slipped to the position AB, the top end of the ladder has come down by ___.(Take 3=1.73)
197651_7af95c98b3bc4d0294172933dd8fcb1e.png

Solution
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Given, AB=AB=4 m
BAW=60
BAW=30
Now, in ABW
sin60=BWAB
32=BW4
BW=23
Now, in ABW
sin30=BWAB
12=BW4
BW=2
We know,
BB=BWBW=232
=2(31) m
=2(1.731) m
=1.46 m

So, the required answer is 1.46 m.

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197651_7af95c98b3bc4d0294172933dd8fcb1e.png
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