Solve the Problem $\frac { 3 } { 4 }$ the Cross-Section of the Pipe Where It Intersects the 4

Multiple Choice

Solve the problem.
-a. A circular vent pipe with diameter 4 inches is placed on a flat roof. Write an equation of the circular cross section that the pipe makes with the roof. Assume the origin is placed at the center of The circle.
b. Suppose the pipe is instead placed on a roof with a slope of $\frac { 3 } { 4 }$ . The cross-section of the pipe Where it intersects the roof is an ellipse. Determine the lengths of the major and minor axes of this Ellipse.

A) a. $x ^ { 2 } + y ^ { 2 } = 4$
b. Major axis $= 4$ in; minor axis $\approx 5.0$ in
B) a. $x ^ { 2 } + y ^ { 2 } = 16$
b. Major axis $\approx 2.5$ in; minor axis $= 2$ in
C) a. $x ^ { 2 } + y ^ { 2 } = 16$
b. Major axis $\approx 6.7$ in; minor axis $= 4$ in
D) a. $x ^ { 2 } + y ^ { 2 } = 4$
b. Major axis $\approx 5.0$ in; minor axis $= 4$ in