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

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 = $\sqrt{(leg1)^{2}+(leg2)^{2}}$

∵ leg1 = 47 and leg2 = 22  

∴ h = $\sqrt{(47)^{2}+(22)^{2}}$

∴ h = $\sqrt{2209+484}$

∴ h = $\sqrt{2693}$

∴ 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