A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 20 feet and a height at the center of 4 feet.Select the arch of the tunnel on a rectangular coordinate system with the center of the road entering the tunnel at the origin.Identify the coordinates of the known points.
A)
B)
C)
D)

Question

A semielliptical arch over a tunnel for a one-way road through a mountain has a major axis of 20 feet and a height at the center of 4 feet.Select the arch of the tunnel on a rectangular coordinate system with the center of the road entering the tunnel at the origin.Identify the coordinates of the known points. ​
A)​ 
B)​ 
C)​ 
D)​

Quizplus · Accepted Answer

Since the major axis is 20 feet, half of the major axis, which is also the center of the arch, is at (0,0). The height at the center is 4 feet, so the top point of the arch is at (10,4) and the bottom point of the arch is at (-10,4). Therefore, the coordinates for the known points are: 
Center of Arch: (0,0)
Top Point of Arch: (10,4)
Bottom Point of Arch: (-10,4)
Choice B is the correct answer, as it shows an arch with the correct dimensions and coordinates of the known points.

A Semielliptical Arch Over a Tunnel for a One-Way Road