Question

A ladder of length 10m is leaning against a wall making an angle of 600 with the horizontal plane. It touches the wall at point A. If the ladder is rearranged in a way that it leans against the wall making an angle 300 with the horizontal plane, it touches the wall at pointB. Find the length of AB.

Answer 1

Sin60°=AC\10

√3\2=AC/10

AC=5√3m

Cos60°=DC/10

1/2=DC/10

DC=5m

tan30°=BC/5

1/√3=BC/5

BC=5√3/3

AB=AC-BC

=5√3-5√3/3

=10√3/3m