GATE Civil Engineering (CE) 2018 Shift 1 Solved Paper

Question : 3 of 65

Marks: +1, -0

Tower

A

90 {m}

tall and tower

B

is 140 m tall. They are

100 {m}

apart. A horizontal skywalk connects the floors at

70 {m}

in both the towers. If a taut rope connects the top of tower

A

to the bottom of tower

B

, at what distance (in meters) from tower

A

will the rope intersect the skywalk?

Solution:

∆ \AME \;\; =∆ \APC

\;{A M}/{A P} \;\; =\;{M E}/{P C}

⇒ \;{20}/{90} \;\; =\;{M E}/{100}

⇒M E=22.22

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