Question

The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs that runs from the ground to the rooftop? Round your answer to the nearest meter. Show your work.

Answer 1

The length of the flight of stairs is 52 m

Explanation:

In parallelograms, opposite sides are equal in length

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

whose legs are 47 m and 22 m

∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h =
`\sqrt{(leg1)^(2)+(leg2)^(2)}`

∵ leg1 = 47 and leg2 = 22

∴ h =
`\sqrt{(47)^(2)+(22)^(2)}`

∴ h =
`√(2209+484)`

∴ h =
`√(2693)`

∴ h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

∴ The length of the flight of stairs = 52 m