Please make the answer clear and box once finished! I NEED ONLY PART B Find an equation of the semielliptical arch over the tunnel. PLEASE BOX ANSWER THANK YOU.

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.2: Ellipses
Problem 54E
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Please make the answer clear and box once finished! I NEED ONLY PART B Find an equation of the semielliptical arch over the tunnel. PLEASE BOX ANSWER THANK YOU.
A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50 feet and a height at the center of 10 feet.
(a) Sketch the arch on a rectangular coordinate system with the center of the road entering the tunnel at the origin. Identify the coordinates of the known points.
y
y
0, 25)
k0, 10)
(-5, 0)
(5, 0)
(-25, 0)
(25, 0)
y
0, 25)
70, 5
(-10, 0)
(10, 0)
(-25, 0)
(25, 0)
(b) Find an equation of the semielliptical arch over the tunnel.
(c) You are driving a moving truck that has a width of 8 feet and a height of 11 feet. Will the moving truck clear the opening of the arch?
O Yes
O No
Transcribed Image Text:A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 50 feet and a height at the center of 10 feet. (a) Sketch the arch on a rectangular coordinate system with the center of the road entering the tunnel at the origin. Identify the coordinates of the known points. y y 0, 25) k0, 10) (-5, 0) (5, 0) (-25, 0) (25, 0) y 0, 25) 70, 5 (-10, 0) (10, 0) (-25, 0) (25, 0) (b) Find an equation of the semielliptical arch over the tunnel. (c) You are driving a moving truck that has a width of 8 feet and a height of 11 feet. Will the moving truck clear the opening of the arch? O Yes O No
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