# The height of building A is 210 m and the height of building B is 350 m. The two are 240 m away from each other. How long should a ladder be for a person to go from the top of A to the top of B.

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Expert Answers

justaguide | Certified Educator

The height of building A is 210 m and the height of building B is 350 m. The difference in their height is 350 - 210 = 140 m. The two are 240 m away from each other.

When a ladder is placed from the top of building A to the top of building B a right angle is created with one of the sides with length 240 m, the side perpendicular to this is 140 m long. And the length of the hypotenuse is how long the ladder should be for one to cross over.

The length of the hypotenuse is `sqrt(140^2 + 240 ^2)` = `20*sqrt 193 ~~ 277.85` m

**A ladder that is at least 277.85 m long is required to move from the top of building A to the top of building B.**