a ladder of length 20 metre leans against a wall so that the top of the ladder is 12 m above the ground level how far is the bottom of the ladder from the wall
Answers
Answered by
1
Answer:
Since, Hypotenuse=20m
and Height=10m
∴sinθ=
20
10
⇒sinθ=
2
1
But we know that
sin30
o
=
2
1
Hence, we can say that
θ=30
o
Therefore,
Base
=20cos30
o
m
=20(
2
3
)
=10(1.732)
=17.32m
Step-by-step explanation:
hi
Answered by
1
here is your answer,
the ladder becomes the hypotenuse = 20m
height of top of ladder from the ground = 12m
by pythagoras theorem
h²=p²+b²
h=20m
p=12m
b=?
20²=12²+b²
400=144+b²
b²=400-144
b=_/256
b=16m
Hence the length of the bottom of the ladder from the wall is 16m.
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