Question

Construction an electrician is carrying a ladder horizontally around a corner from one hallway to another. One hallway is a foot wider than the other. If 0 = 30, find the exact length of the ladder.

Answer 1

This question is solved by

Application of trigonometry

ch 9

class 10

Answer 2

• We are given that one hallway is a foot wider, and also angle=30.
• We have to find the exact length of the ladder such that the electrician can carry it around a corner.
• Let one length of the hallway be equal to x foot.
• So other length will be equal to x+1 foot.
• We are given that angle = 30 degree.
• So, tan 30 = 1/ root3.

        x/x+1 = 1 / root3.

        x = 1 / root3 - 1.

        x = 1.366

• So, the length of the ladder will be,

             = x / sin 30

    ANS = 2.732 foot.