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3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the parabola is at the top of the arch, at which height above the base is it 16 meters wide?

3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the parabola is at the top of the arch, at which height above the base is it 16 meters wide?

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 36E
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3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the parabola is at the top of the arch, at which height above the base is it 16 meters wide? 4. A parabolic arch has a span of 20 m and a height of 10 m. How high is the arch 4 m from the center of the span? (Choose the x-axis along the base of the span with the origin at the center of the base.) 5. An arch in the form of semi-ellipse has a spun of 10 m. and a centra! height of 4 m. Find the height of the arch at a point 3 m from the semi-minor axis. 6. The lengths of the major and minor axes of an ellipse are 10m and 8m, respectively. Find the distance between the foci, 7. The arch of an underpass is a semi-ellipse 20 meters wide and 5 meters high. Find the clearance at edge of a lane if the edge is 5 meters from the middle, 8. Two radio signaling stations at A and B lie on the East-West line, with A 100 miles west of B. A is flying west on a line 50 miles north of the line AB. Radio signals are sent (travelling at 0.2 miles/microsecond) simultaneously from A and B, and the one sent from B arrives at the plane 400 microsecond before the one sent from A. Where is the plane? ANSWER BOX 8.4 m U - 18 m Y . 3 A - V2 E - 6 L• 3.2 m R - 27.75 E 50 N of B 5 2
Transcribed Image Text:3A parabolic arch has a height of 24 meters and a width of 32 meters at the base. If the vertex the parabola is at the top of the arch, at which height above the base is it 16 meters wide? 4. A parabolic arch has a span of 20 m and a height of 10 m. How high is the arch 4 m from the center of the span? (Choose the x-axis along the base of the span with the origin at the center of the base.) 5. An arch in the form of semi-ellipse has a spun of 10 m. and a centra! height of 4 m. Find the height of the arch at a point 3 m from the semi-minor axis. 6. The lengths of the major and minor axes of an ellipse are 10m and 8m, respectively. Find the distance between the foci, 7. The arch of an underpass is a semi-ellipse 20 meters wide and 5 meters high. Find the clearance at edge of a lane if the edge is 5 meters from the middle, 8. Two radio signaling stations at A and B lie on the East-West line, with A 100 miles west of B. A is flying west on a line 50 miles north of the line AB. Radio signals are sent (travelling at 0.2 miles/microsecond) simultaneously from A and B, and the one sent from B arrives at the plane 400 microsecond before the one sent from A. Where is the plane? ANSWER BOX 8.4 m U - 18 m Y . 3 A - V2 E - 6 L• 3.2 m R - 27.75 E 50 N of B 5 2
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