An arched footbridge over a 100-foot river is shaped like half an ellipse. the maximum height of the bridge over the river is 20 feet. find the height of the bridge over a point in the river exactly 25 feet from the center of the river.

Respuesta :

Answer:

The answer is C. 17.32

Step-by-step explanation:

The steps is i just took the test on edge and that's the answer. Trust

The height of this bridge from a point in the river that is exactly 25 feet is given as 10√3 =  17.32

How to solve for the height of the bridge

Using the equation of an ellipse we have

[tex]\frac{x^2}{50^2} +\frac{y^2}{20^2}=1 \\\\x = 25\\\\\frac{25^2}{50^2} +\frac{y^2}{20^2}=1[/tex]

625/2500 + y²/400 = 1

= 0.25 + y²/400 = 1

y=10√3

= 17.32

The height of the bridge over the point that is exactly 25 from the center of the river is 17.32

Read more on ellipse here: https://brainly.com/question/16904744