Question

A ladder 30 m long stands against a post at one side of a road at an angle of 30° with the post on the other side of road , it makes an angle of 45°. Find the width of the road ?

Answer 1

Case 1-

tan30°=P/B

1/√3=30/B

B=30√3

Case 2-

tan45°=P/B

1=30/B

B=30

Width of the road=Case 1-Case 2

=30√3-30

=30(√3-1)