Answer and show work: The Gateway Arch in St. Louis was designed by architect Ee

Question

Answer and show work:

The Gateway Arch in St. Louis was designed by architect Eero Saarinen and was constructed using the equation y = 211.488 - 20.96cosh (0.03291765x) for the central curve of the arch, where x and y are measured in meters and x 91.20 What is the height of the arch at its center? The city of St. Louis wishes to hang a banner on a wire stretched across the span between the leg of the Arch at a height of 50 meters. Help them determine the distance across the span at this height. If tanhx = 12/13 find the values of the other 5 hyperbolic functions at x.

Explanation / Answer

1)

a)Height at middle=maximum=211.488-20.96*cosh(0.03291765*0)

=190.528

b)y= 50

=>x=cosh^-1(161.488)/0.0329

--------------------

2)tanhx=12/13

coshx=13/5

sinhx=12/5

sechx=5/13

cosechx=5/13

cothx=13/12

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.