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.

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 ro class=

Respuesta :

Answer:

The length of the flight of stairs is 52 m

Step-by-step 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 = [tex]\sqrt{(leg1)^{2}+(leg2)^{2}}[/tex]

∵ leg1 = 47 and leg2 = 22  

∴ h = [tex]\sqrt{(47)^{2}+(22)^{2}}[/tex]

∴ h = [tex]\sqrt{2209+484}[/tex]

∴ h = [tex]\sqrt{2693}[/tex]

∴ 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