Question

The roof of an airplane hanger is a parabola with the focus located 32 feet from the vertex. If the building is 200 feet wide and the side walls are 25 feet tall, find the maximum height of the hangar.

Answer 1

`h_m=103.125ft`

Explanation:

From the question we are told that:

Focus
`F=32ft`

Width of building
`W=200ft`

Height
`h=25`

Generally the equation for the Parabola is mathematically given by

`y^2=4ax`

`y^2=128x`

`y^2=128b^2`

`y=\pm8√(2b)`

`b=(25)/(2√(2))`

Therefore

`x=b^2`

`b^2=(625)/(8)`

Generally the Generally the equation for momentum is mathematically given by mathematically given by

`h_m=x+h\\h_m=(625)/(8)+25`

`h_m=(825)/(8)ft`

`h_m=103.125ft`